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151080454625220 = 223251377288984053
BaseRepresentation
bin100010010110100000101000…
…110101001001011111000100
3201210221011001122110122110200
4202112200220311021133010
5124300300232341001340
61253153222552250500
743552126335426111
oct4226405065113704
9653834048418420
10151080454625220
1144158951a8195a
1214b404a26a0a30
13663ba971c5563
142944493b41908
15126ee39018330
hex896828d497c4

151080454625220 has 144 divisors (see below), whose sum is σ = 461634294728880. Its totient is φ = 39993022844928.

The previous prime is 151080454625189. The next prime is 151080454625227. The reversal of 151080454625220 is 22526454080151.

151080454625220 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 80 + 4 + 5 + 46 + 2 + 522 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4597216268544 + 146483238356676 = 2144112^2 + 12103026^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (151080454625227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1797400714 + ... + 1797484766.

It is an arithmetic number, because the mean of its divisors is an integer number (3205793713395).

Almost surely, 2151080454625220 is an apocalyptic number.

151080454625220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151080454625220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230817147364440).

151080454625220 is an abundant number, since it is smaller than the sum of its proper divisors (310553840103660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151080454625220 is a wasteful number, since it uses less digits than its factorization.

151080454625220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157094 (or 157089 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 151080454625220 in words is "one hundred fifty-one trillion, eighty billion, four hundred fifty-four million, six hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 24660 72889 84053 145778 168106 218667 252159 291556 336212 364445 420265 437334 504318 656001 728890 756477 840530 874668 1008636 1093335 1260795 1312002 1457780 1512954 1681060 2186670 2521590 2624004 3025908 3280005 3782385 4373340 5043180 6560010 7564770 9985793 11515261 13120020 15129540 19971586 23030522 29957379 34545783 39943172 46061044 49928965 57576305 59914758 69091566 89872137 99857930 103637349 115152610 119829516 138183132 149786895 172728915 179744274 199715860 207274698 230305220 299573790 345457830 359488548 414549396 449360685 518186745 599147580 690915660 898721370 1036373490 1797442740 2072746980 6126539117 12253078234 18379617351 24506156468 30632695585 36759234702 55138852053 61265391170 73518469404 91898086755 110277704106 122530782340 183796173510 220555408212 275694260265 367592347020 551388520530 839335859029 1102777041060 1678671718058 2518007577087 3357343436116 4196679295145 5036015154174 7554022731261 8393358590290 10072030308348 12590037885435 15108045462522 16786717180580 25180075770870 30216090925044 37770113656305 50360151541740 75540227312610 151080454625220