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10058056153524 = 22321716434732277
BaseRepresentation
bin1001001001011101001011…
…0111010011100110110100
31022121112121020010102111200
42102113102313103212310
52304242344333403044
633220335053532500
72055446002454151
oct222272267234664
938545536112450
1010058056153524
113228663538495
12116539a7a4130
1357c616c6c5a2
1426ab53783228
15126976bc6369
hex925d2dd39b4

10058056153524 has 36 divisors (see below), whose sum is σ = 26920091471364. Its totient is φ = 3155468596992.

The previous prime is 10058056153513. The next prime is 10058056153543. The reversal of 10058056153524 is 42535165085001.

10058056153524 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 8 + 0 + 5 + 615 + 3 + 5 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3394688331024 + 6663367822500 = 1842468^2 + 2581350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10058056153524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8217365527 + ... + 8217366750.

It is an arithmetic number, because the mean of its divisors is an integer number (747780318649).

Almost surely, 210058056153524 is an apocalyptic number.

It is an amenable number.

10058056153524 is an abundant number, since it is smaller than the sum of its proper divisors (16862035317840).

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

10058056153524 is a wasteful number, since it uses less digits than its factorization.

10058056153524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434732304 (or 16434732299 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 10058056153524 in words is "ten trillion, fifty-eight billion, fifty-six million, one hundred fifty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16434732277 32869464554 49304196831 65738929108 98608393662 147912590493 197216787324 279390448709 295825180986 558780897418 591650361972 838171346127 1117561794836 1676342692254 2514514038381 3352685384508 5029028076762 10058056153524