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31420976769 = 32713325111801
BaseRepresentation
bin11101010000110101…
…100000111010000001
310000002210010000001100
4131100311200322001
51003322232224034
622233512325013
72161432616160
oct352065407201
9100083100040
1031420976769
111236435a9a6
12610a9a3769
132c698a9760
14174105b3d7
15c3d764099
hex750d60e81

31420976769 has 48 divisors (see below), whose sum is σ = 55881431424. Its totient is φ = 16567200000.

The previous prime is 31420976749. The next prime is 31420976791. The reversal of 31420976769 is 96767902413.

It is a happy number.

31420976769 is a `hidden beast` number, since 314 + 209 + 7 + 67 + 69 = 666.

It is not a de Polignac number, because 31420976769 - 213 = 31420968577 is a prime.

It is a super-2 number, since 2×314209767692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31420976749) 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, 2656669 + ... + 2668469.

It is an arithmetic number, because the mean of its divisors is an integer number (1164196488).

Almost surely, 231420976769 is an apocalyptic number.

31420976769 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31420976769 is a deficient number, since it is larger than the sum of its proper divisors (24460454655).

31420976769 is a wasteful number, since it uses less digits than its factorization.

31420976769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078 (or 15075 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 31420976769 in words is "thirty-one billion, four hundred twenty million, nine hundred seventy-six thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 3251 9753 11801 22757 29259 35403 42263 68271 82607 106209 126789 153413 204813 247821 295841 380367 460239 743463 887523 1073891 1380717 2662569 3221673 9665019 38365051 115095153 268555357 345285459 498745663 805666071 1496236989 2416998213 3491219641 4488710967 10473658923 31420976769