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117157061641 = 1953660717609
BaseRepresentation
bin110110100011100011…
…0101110010000001001
3102012101212200101020011
41231013012232100021
53404414201433031
6125453214231521
711315155410244
oct1550706562011
9365355611204
10117157061641
114576011a494
121a8577b55a1
13b081205019
14595594625b
1530aa5d86b1
hex1b471ae409

117157061641 has 16 divisors (see below), whose sum is σ = 125676230400. Its totient is φ = 108874067328.

The previous prime is 117157061617. The next prime is 117157061657. The reversal of 117157061641 is 146160751711.

It is a cyclic number.

It is not a de Polignac number, because 117157061641 - 213 = 117157053449 is a prime.

It is a super-2 number, since 2×1171570616412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 117157061594 and 117157061603.

It is not an unprimeable number, because it can be changed into a prime (117157061611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6644445 + ... + 6662053.

It is an arithmetic number, because the mean of its divisors is an integer number (7854764400).

Almost surely, 2117157061641 is an apocalyptic number.

It is an amenable number.

117157061641 is a deficient number, since it is larger than the sum of its proper divisors (8519168759).

117157061641 is a wasteful number, since it uses less digits than its factorization.

117157061641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24288.

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 117157061641 in words is "one hundred seventeen billion, one hundred fifty-seven million, sixty-one thousand, six hundred forty-one".

Divisors: 1 19 53 1007 6607 17609 125533 334571 350171 933277 6653249 17732263 116342663 2210510597 6166161139 117157061641