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215729137107 = 3311739950147
BaseRepresentation
bin1100100011101001110…
…1010110010111010011
3202121211112102122021000
43020322131112113103
512013303124341412
6243034332033043
721404653260411
oct3107235262723
9677745378230
10215729137107
1183543523770
1235987302783
131745cc398b3
14a6270a62b1
1559292b44dc
hex323a7565d3

215729137107 has 32 divisors (see below), whose sum is σ = 353429256960. Its totient is φ = 128953892160.

The previous prime is 215729137087. The next prime is 215729137133. The reversal of 215729137107 is 701731927512.

215729137107 is a `hidden beast` number, since 2 + 1 + 572 + 9 + 1 + 3 + 71 + 0 + 7 = 666.

It is not a de Polignac number, because 215729137107 - 214 = 215729120723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (215729135107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4953393 + ... + 4996754.

It is an arithmetic number, because the mean of its divisors is an integer number (11044664280).

Almost surely, 2215729137107 is an apocalyptic number.

215729137107 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

215729137107 is a deficient number, since it is larger than the sum of its proper divisors (137700119853).

215729137107 is a wasteful number, since it uses less digits than its factorization.

215729137107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950240 (or 9950234 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

It can be divided in two parts, 215729 and 137107, that added together give a square (352836 = 5942).

The spelling of 215729137107 in words is "two hundred fifteen billion, seven hundred twenty-nine million, one hundred thirty-seven thousand, one hundred seven".

Divisors: 1 3 9 11 27 33 73 99 219 297 657 803 1971 2409 7227 21681 9950147 29850441 89551323 109451617 268653969 328354851 726360731 985064553 2179082193 2955193659 6537246579 7989968041 19611739737 23969904123 71909712369 215729137107