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107156181951 = 32713166778487
BaseRepresentation
bin110001111001100000…
…0011001001110111111
3101020120220021001101200
41203303000121032333
53223423440310301
6121121000510543
710512300342510
oct1436300311677
9336526231350
10107156181951
1141498964565
121892647b453
13a14929a330
145287634a07
152bc2604c86
hex18f30193bf

107156181951 has 48 divisors (see below), whose sum is σ = 190616584704. Its totient is φ = 56487316032.

The previous prime is 107156181911. The next prime is 107156181973. The reversal of 107156181951 is 159181651701.

107156181951 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 561 + 81 + 9 + 5 + 1 = 666.

It is not a de Polignac number, because 107156181951 - 219 = 107155657663 is a prime.

It is a super-2 number, since 2×1071561819512 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107156181897 and 107156181906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107156181911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326030 + ... + 1404516.

It is an arithmetic number, because the mean of its divisors is an integer number (3971178848).

Almost surely, 2107156181951 is an apocalyptic number.

107156181951 is a deficient number, since it is larger than the sum of its proper divisors (83460402753).

107156181951 is a wasteful number, since it uses less digits than its factorization.

107156181951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80180 (or 80177 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 45.

The spelling of 107156181951 in words is "one hundred seven billion, one hundred fifty-six million, one hundred eighty-one thousand, nine hundred fifty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1667 5001 11669 15003 21671 35007 65013 78487 105021 151697 195039 235461 455091 549409 706383 1020331 1365273 1648227 3060993 4944681 7142317 9182979 21426951 64280853 130837829 392513487 915864803 1177540461 1700891777 2747594409 5102675331 8242783227 11906242439 15308025993 35718727317 107156181951