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990952557156 = 223225126612
BaseRepresentation
bin11100110101110010110…
…00000000101001100100
310111201211012001201010100
432122321120000221210
5112213432323312111
62035123132224100
7131410504520442
oct16327130005144
93451735051110
10990952557156
11352295980201
1214007800b030
13725a5a47073
1435d68a01b92
151ab9c317756
hexe6b9600a64

990952557156 has 81 divisors (see below), whose sum is σ = 2518737812409. Its totient is φ = 328503780000.

The previous prime is 990952557149. The next prime is 990952557191. The reversal of 990952557156 is 651755259099.

The square root of 990952557156 is 995466.

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

990952557156 is a `hidden beast` number, since 9 + 9 + 0 + 9 + 5 + 2 + 5 + 571 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 786829317156 + 204123240000 = 887034^2 + 451800^2 .

It is a junction number, because it is equal to n+sod(n) for n = 990952557093 and 990952557102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1499171466 + ... + 1499172126.

Almost surely, 2990952557156 is an apocalyptic number.

990952557156 is the 995466-th square number.

It is an amenable number.

990952557156 is an abundant number, since it is smaller than the sum of its proper divisors (1527785255253).

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

990952557156 is an equidigital number, since it uses as much as digits as its factorization.

990952557156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 38272500, while the sum is 63.

The spelling of 990952557156 in words is "nine hundred ninety billion, nine hundred fifty-two million, five hundred fifty-seven thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 661 753 1004 1322 1506 1983 2259 2644 3012 3966 4518 5949 7932 9036 11898 23796 63001 126002 165911 189003 252004 331822 378006 436921 497733 567009 663644 756012 873842 995466 1134018 1310763 1493199 1747684 1990932 2268036 2621526 2986398 3932289 5243052 5972796 7864578 15729156 41643661 83287322 109667171 124930983 166574644 219334342 249861966 329001513 374792949 438668684 499723932 658003026 749585898 987004539 1316006052 1499171796 1974009078 3948018156 27526459921 55052919842 82579379763 110105839684 165158759526 247738139289 330317519052 495476278578 990952557156