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10132494852964 = 2211241235292
BaseRepresentation
bin1001001101110010011111…
…0000011010001101100100
31022212122201222200011022211
42103130213300122031210
52312002322140243324
633314445345333204
72064022445122411
oct223344760321544
938778658604284
1010132494852964
113257192211100
1211778b4037204
1358664ab797c3
142705b5aa9108
15128881d17294
hex93727c1a364

10132494852964 has 81 divisors (see below), whose sum is σ = 19983030766923. Its totient is φ = 4492072569600.

The previous prime is 10132494852959. The next prime is 10132494853079. The reversal of 10132494852964 is 46925849423101.

The square root of 10132494852964 is 3183158.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7524915812964 + 2607579040000 = 2743158^2 + 1614800^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10132494852899 and 10132494852908.

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, 2871206752 + ... + 2871210280.

Almost surely, 210132494852964 is an apocalyptic number.

10132494852964 is the 3183158-th square number.

It is an amenable number.

10132494852964 is a deficient number, since it is larger than the sum of its proper divisors (9850535913959).

10132494852964 is an frugal number, since it uses more digits than its factorization.

10132494852964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 10132494852964 in words is "ten trillion, one hundred thirty-two billion, four hundred ninety-four million, eight hundred fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 11 22 41 44 82 121 164 242 451 484 902 1681 1804 3362 3529 4961 6724 7058 9922 14116 18491 19844 36982 38819 73964 77638 144689 155276 203401 289378 406802 427009 578756 813604 854018 1591579 1708036 3183158 5932249 6366316 11864498 12453841 17507369 23728996 24907682 35014738 49815364 65254739 70029476 130509478 136992251 261018956 273984502 510607481 547969004 717802129 1021214962 1435604258 1506914761 2042429924 2871208516 3013829522 5616682291 6027659044 11233364582 20934906721 22466729164 41869813442 61783505201 83739626884 123567010402 230283973931 247134020804 460567947862 921135895724 2533123713241 5066247426482 10132494852964