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253016643204 = 2232131373393761
BaseRepresentation
bin1110101110100011110…
…1111001011010000100
3220012002011110012122100
43223220331321122010
513121134230040304
6312122332432100
724164662660623
oct3535075713204
9805064405570
10253016643204
1198338331a06
1241052918630
131ab2304c980
14c36330b6ba
1568aca99439
hex3ae8f79684

253016643204 has 72 divisors (see below), whose sum is σ = 689270930712. Its totient is φ = 77794375680.

The previous prime is 253016643193. The next prime is 253016643221. The reversal of 253016643204 is 402346610352.

253016643204 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 1 + 6 + 643 + 2 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140152896900 + 112863746304 = 374370^2 + 335952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445684 + ... + 839444.

It is an arithmetic number, because the mean of its divisors is an integer number (9573207371).

Almost surely, 2253016643204 is an apocalyptic number.

It is an amenable number.

253016643204 is an abundant number, since it is smaller than the sum of its proper divisors (436254287508).

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

253016643204 is a wasteful number, since it uses less digits than its factorization.

253016643204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395157 (or 395152 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 253016643204 in words is "two hundred fifty-three billion, sixteen million, six hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1373 2746 4119 5492 8238 12357 16476 17849 24714 35698 49428 53547 71396 107094 160641 214188 321282 393761 642564 787522 1181283 1575044 2362566 3543849 4725132 5118893 7087698 10237786 14175396 15356679 20475572 30713358 46070037 61426716 92140074 184280148 540633853 1081267706 1621901559 2162535412 3243803118 4865704677 6487606236 7028240089 9731409354 14056480178 19462818708 21084720267 28112960356 42169440534 63254160801 84338881068 126508321602 253016643204