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10012056071517 = 3237127979234931
BaseRepresentation
bin1001000110110001110100…
…0010111010110101011101
31022110010212101212010211200
42101230131002322311131
52303014142323242032
633143250340310113
72052230040303663
oct221543502726535
938403771763750
1010012056071517
1132100a8702a95
1211584a13a2339
13578195ac2b56
1426882c384c33
1512568358c47c
hex91b1d0bad5d

10012056071517 has 24 divisors (see below), whose sum is σ = 14852899095840. Its totient is φ = 6494228252640.

The previous prime is 10012056071497. The next prime is 10012056071539. The reversal of 10012056071517 is 71517065021001.

It is a happy number.

10012056071517 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 5 + 607 + 15 + 17 = 666.

It is not a de Polignac number, because 10012056071517 - 210 = 10012056070493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012056071557) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42499542 + ... + 42734472.

It is an arithmetic number, because the mean of its divisors is an integer number (618870795660).

Almost surely, 210012056071517 is an apocalyptic number.

It is an amenable number.

10012056071517 is a deficient number, since it is larger than the sum of its proper divisors (4840843024323).

10012056071517 is a wasteful number, since it uses less digits than its factorization.

10012056071517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362953 (or 362950 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 10012056071517 in words is "ten trillion, twelve billion, fifty-six million, seventy-one thousand, five hundred seventeen".

Divisors: 1 3 9 37 111 333 127979 234931 383937 704793 1151811 2114379 4735223 8692447 14205669 26077341 42617007 78232023 30066234449 90198703347 270596110041 1112450674613 3337352023839 10012056071517