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51811594240 = 21257361409
BaseRepresentation
bin110000010000001101…
…100011000000000000
311221201211122200201211
4300100031203000000
51322102232003430
635445114135504
73512640166420
oct602015430000
9157654580654
1051811594240
111aa7832667a
12a05b721594
134b6918c193
142717184480
15153393d72a
hexc10363000

51811594240 has 104 divisors (see below), whose sum is σ = 142094846880. Its totient is φ = 17763926016.

The previous prime is 51811594223. The next prime is 51811594267. The reversal of 51811594240 is 4249511815.

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

It is a junction number, because it is equal to n+sod(n) for n = 51811594193 and 51811594202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37345 + ... + 324064.

Almost surely, 251811594240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51811594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71047423440).

51811594240 is an abundant number, since it is smaller than the sum of its proper divisors (90283252640).

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

51811594240 is an equidigital number, since it uses as much as digits as its factorization.

51811594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361445 (or 361423 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The spelling of 51811594240 in words is "fifty-one billion, eight hundred eleven million, five hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8960 10240 14336 17920 20480 28672 35840 71680 143360 361409 722818 1445636 1807045 2529863 2891272 3614090 5059726 5782544 7228180 10119452 11565088 12649315 14456360 20238904 23130176 25298630 28912720 40477808 46260352 50597260 57825440 80955616 92520704 101194520 115650880 161911232 185041408 202389040 231301760 323822464 370082816 404778080 462603520 647644928 740165632 809556160 925207040 1295289856 1480331264 1619112320 1850414080 2590579712 3238224640 3700828160 5181159424 6476449280 7401656320 10362318848 12952898560 25905797120 51811594240