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10058380810056 = 2332435134363277
BaseRepresentation
bin1001001001011110011000…
…1101110001011101001000
31022121120102212000200112200
42102113212031301131020
52304244030441410211
633220431212240200
72055460024135515
oct222274615613510
938546385020480
1010058380810056
11322880a822777
12116546b470060
1357c6692c1147
1426ab8493430c
15126995455b56
hex925e6371748

10058380810056 has 96 divisors (see below), whose sum is σ = 27875953522560. Its totient is φ = 3274706123136.

The previous prime is 10058380810003. The next prime is 10058380810087. The reversal of 10058380810056 is 65001808385001.

10058380810056 is a `hidden beast` number, since 1 + 0 + 0 + 583 + 8 + 0 + 8 + 10 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10058380809993 and 10058380810020.

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, 158926290 + ... + 158989566.

It is an arithmetic number, because the mean of its divisors is an integer number (290374515860).

Almost surely, 210058380810056 is an apocalyptic number.

It is an amenable number.

10058380810056 is an abundant number, since it is smaller than the sum of its proper divisors (17817572712504).

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

10058380810056 is a wasteful number, since it uses less digits than its factorization.

10058380810056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114675 (or 114668 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10058380810056 in words is "ten trillion, fifty-eight billion, three hundred eighty million, eight hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 51343 63277 102686 126554 154029 189831 205372 253108 308058 379662 410744 462087 506216 569493 616116 759324 924174 1138986 1232232 1518648 1848348 2207749 2277972 2720911 3696696 4415498 4555944 5441822 6623247 8162733 8830996 10883644 13246494 16325466 17661992 19869741 21767288 24488199 26492988 32650932 39739482 48976398 52985976 65301864 79478964 97952796 158957928 195905592 3248831011 6497662022 9746493033 12995324044 19492986066 25990648088 29239479099 38985972132 58478958198 77971944264 116957916396 139699733473 233915832792 279399466946 419099200419 558798933892 838198400838 1117597867784 1257297601257 1676396801676 2514595202514 3352793603352 5029190405028 10058380810056