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151020401160 = 23352989487603
BaseRepresentation
bin1000110010100110000…
…1000111001000001000
3112102210212112021010010
42030221201013020020
54433242210314120
6153213335151520
713624266141516
oct2145141071010
9472725467103
10151020401160
11590580966a2
12253285155a0
1311319ab0525
1474490cd4b6
153ddd4907e0
hex2329847208

151020401160 has 128 divisors (see below), whose sum is σ = 473951088000. Its totient is φ = 38446442496.

The previous prime is 151020401107. The next prime is 151020401183. The reversal of 151020401160 is 61104020151.

It is a super-3 number, since 3×1510204011603 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65919 + ... + 553521.

It is an arithmetic number, because the mean of its divisors is an integer number (3702742875).

Almost surely, 2151020401160 is an apocalyptic number.

151020401160 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 151020401160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236975544000).

151020401160 is an abundant number, since it is smaller than the sum of its proper divisors (322930686840).

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

151020401160 is a wasteful number, since it uses less digits than its factorization.

151020401160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487735 (or 487731 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 151020401160 in words is "one hundred fifty-one billion, twenty million, four hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 89 116 120 145 174 178 232 267 290 348 356 435 445 534 580 696 712 870 890 1068 1160 1335 1740 1780 2136 2581 2670 3480 3560 5162 5340 7743 10324 10680 12905 15486 20648 25810 30972 38715 51620 61944 77430 103240 154860 309720 487603 975206 1462809 1950412 2438015 2925618 3900824 4876030 5851236 7314045 9752060 11702472 14140487 14628090 19504120 28280974 29256180 42421461 43396667 56561948 58512360 70702435 84842922 86793334 113123896 130190001 141404870 169685844 173586668 212107305 216983335 260380002 282809740 339371688 347173336 424214610 433966670 520760004 565619480 650950005 848429220 867933340 1041520008 1258503343 1301900010 1696858440 1735866680 2517006686 2603800020 3775510029 5034013372 5207600040 6292516715 7551020058 10068026744 12585033430 15102040116 18877550145 25170066860 30204080232 37755100290 50340133720 75510200580 151020401160