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138117829113987 = 38310752321134691
BaseRepresentation
bin11111011001111000010000…
…001001000011100010000011
3200010000221020222122212100220
4133121320100021003202003
5121100410303223121422
61205430242120514123
741043453363522462
oct3731702011034203
9603027228585326
10138117829113987
11400104958a0808
12135a81b161b943
135c0b5bc686968
142616d1d7249d9
1510e7b65ae8e5c
hex7d9e10243883

138117829113987 has 64 divisors (see below), whose sum is σ = 188606782457856. Its totient is φ = 89884948285440.

The previous prime is 138117829113961. The next prime is 138117829113989. The reversal of 138117829113987 is 789311928711831.

It is not a de Polignac number, because 138117829113987 - 26 = 138117829113923 is a prime.

It is a super-2 number, since 2×1381178291139872 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138117829113989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29443150312 + ... + 29443155002.

It is an arithmetic number, because the mean of its divisors is an integer number (2946980975904).

Almost surely, 2138117829113987 is an apocalyptic number.

138117829113987 is a deficient number, since it is larger than the sum of its proper divisors (50488953343869).

138117829113987 is a wasteful number, since it uses less digits than its factorization.

138117829113987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520.

The product of its digits is 36578304, while the sum is 69.

The spelling of 138117829113987 in words is "one hundred thirty-eight trillion, one hundred seventeen billion, eight hundred twenty-nine million, one hundred thirteen thousand, nine hundred eighty-seven".

Divisors: 1 3 83 107 249 321 523 1569 2113 4691 6339 8881 14073 26643 43409 55961 130227 167883 175379 226091 389353 501937 526137 678273 1105099 1168059 1505811 2453393 3315297 4644763 7360179 9912083 13934289 18765553 29736249 41660771 56296659 91723217 118245593 124982313 203631619 262513051 275169651 354736779 610894857 787539153 822702889 1060592881 2468108667 3181778643 5184019409 9814384219 15552058227 21788583233 29443152657 65365749699 88029209123 264087627369 430273610947 554690076763 1290820832841 1664070230289 46039276371329 138117829113987