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252640915881124 = 2237234726192
BaseRepresentation
bin111001011100011010001100…
…000010111111110010100100
31020010112020100210221100101011
4321130122030002333302210
5231103232043431143444
62253153345015312004
7104133463261454131
oct7134321402776244
91203466323840334
10252640915881124
1173554457752901
122440360367b604
13aac7c22920064
144655c58021588
151e31b83b48734
hexe5c68c0bfca4

252640915881124 has 81 divisors (see below), whose sum is σ = 456444441595233. Its totient is φ = 122354210257056.

The previous prime is 252640915881113. The next prime is 252640915881187. The reversal of 252640915881124 is 421188519046252.

The square root of 252640915881124 is 15894682.

It is a perfect power (a square), and thus also a powerful number.

252640915881124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 226066560960100 + 26574354921024 = 15035510^2 + 5155032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408143644087 + ... + 408143644705.

Almost surely, 2252640915881124 is an apocalyptic number.

252640915881124 is the 15894682-nd square number.

It is an amenable number.

252640915881124 is a deficient number, since it is larger than the sum of its proper divisors (203803525714109).

252640915881124 is an frugal number, since it uses more digits than its factorization.

252640915881124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 252640915881124 in words is "two hundred fifty-two trillion, six hundred forty billion, nine hundred fifteen million, eight hundred eighty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 37 74 148 347 619 694 1238 1369 1388 2476 2738 5476 12839 22903 25678 45806 51356 91612 120409 214793 240818 383161 429586 475043 481636 766322 847411 859172 950086 1532644 1694822 1900172 3389644 4455133 7947341 8910266 14176957 15894682 17820532 28353914 31789364 56707828 74533171 132956867 149066342 164839921 265913734 294051617 298132684 329679842 524547409 531827468 588103234 659359684 1049094818 1176206468 2098189636 2757727327 4919404079 5515454654 9838808158 11030909308 19677616316 46136032849 92272065698 102035911099 182017950923 184544131396 204071822198 364035901846 408143644396 728071803692 1707033215413 3414066430826 6828132861652 63160228970281 126320457940562 252640915881124