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10074092834052 = 22321353406147913
BaseRepresentation
bin1001001010011000111010…
…1110011000110100000100
31022200001222211222012112100
42102212032232120310010
52310023220231142202
633231550243352100
72056554261135612
oct222461656306404
938601884865470
1010074092834052
113234442856975
121168515382630
13580ca14c9470
1426b8355426b2
151270b4a1541c
hex9298eb98d04

10074092834052 has 72 divisors (see below), whose sum is σ = 27941351891544. Its totient is φ = 3041235565056.

The previous prime is 10074092834009. The next prime is 10074092834077. The reversal of 10074092834052 is 25043829047001.

10074092834052 is a `hidden beast` number, since 10 + 0 + 74 + 0 + 92 + 83 + 405 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22808852676 + 10051283981376 = 151026^2 + 3170376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10074092833989 and 10074092834007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203049153 + ... + 203098760.

It is an arithmetic number, because the mean of its divisors is an integer number (388074331827).

Almost surely, 210074092834052 is an apocalyptic number.

10074092834052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10074092834052 is an abundant number, since it is smaller than the sum of its proper divisors (17867259057492).

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

10074092834052 is a wasteful number, since it uses less digits than its factorization.

10074092834052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406147989 (or 406147984 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10074092834052 in words is "ten trillion, seventy-four billion, ninety-two million, eight hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 12402 24804 406147913 812295826 1218443739 1624591652 2436887478 3655331217 4873774956 5279922869 7310662434 10559845738 14621324868 15839768607 21119691476 21525839389 31679537214 43051678778 47519305821 63359074428 64577518167 86103357556 95038611642 129155036334 190077223284 193732554501 258310072668 279835912057 387465109002 559671824114 774930218004 839507736171 1119343648228 1679015472342 2518523208513 3358030944684 5037046417026 10074092834052