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46158054160 = 24523294320117
BaseRepresentation
bin101010111111001111…
…000000001100010000
311102010211112002201111
4222333033000030100
51224012430213120
633112115143104
73222560662321
oct527717001420
9142124462644
1046158054160
11186370222a9
128b422a4a94
134477b0a1aa
14233c3a0448
15130244075a
hexabf3c0310

46158054160 has 160 divisors (see below), whose sum is σ = 118544912640. Its totient is φ = 16654116864.

The previous prime is 46158054121. The next prime is 46158054161. The reversal of 46158054160 is 6145085164.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (46158054161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2284422 + ... + 2304538.

It is an arithmetic number, because the mean of its divisors is an integer number (740905704).

Almost surely, 246158054160 is an apocalyptic number.

46158054160 is a gapful number since it is divisible by the number (40) 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 46158054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59272456320).

46158054160 is an abundant number, since it is smaller than the sum of its proper divisors (72386858480).

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

46158054160 is a wasteful number, since it uses less digits than its factorization.

46158054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20225 (or 20219 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 46158054160 in words is "forty-six billion, one hundred fifty-eight million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 43 46 58 80 86 92 115 116 145 172 184 215 230 232 290 344 368 430 460 464 580 667 688 860 920 989 1160 1247 1334 1720 1840 1978 2320 2494 2668 3335 3440 3956 4945 4988 5336 6235 6670 7912 9890 9976 10672 12470 13340 15824 19780 19952 20117 24940 26680 28681 39560 40234 49880 53360 57362 79120 80468 99760 100585 114724 143405 160936 201170 229448 286810 321872 402340 458896 462691 573620 583393 804680 865031 925382 1147240 1166786 1609360 1730062 1850764 2294480 2313455 2333572 2916965 3460124 3701528 4325155 4626910 4667144 5833930 6920248 7403056 8650310 9253820 9334288 11667860 13418039 13840496 17300620 18507640 19895713 23335720 25085899 26836078 34601240 37015280 39791426 46671440 50171798 53672156 67090195 69202480 79582852 99478565 100343596 107344312 125429495 134180390 159165704 198957130 200687192 214688624 250858990 268360780 318331408 397914260 401374384 501717980 536721560 576975677 795828520 1003435960 1073443120 1153951354 1591657040 2006871920 2307902708 2884878385 4615805416 5769756770 9231610832 11539513540 23079027080 46158054160