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31378720065 = 3571122469793
BaseRepresentation
bin11101001110010100…
…010100010101000001
32222222211121010202020
4131032110110111001
51003230423020230
622225402512053
72160410501610
oct351624242501
988884533666
1031378720065
1112342518900
1260b8805629
132c60c029a4
1417395bb877
15c39bb8810
hex74e514541

31378720065 has 48 divisors (see below), whose sum is σ = 63068659584. Its totient is φ = 13040501760.

The previous prime is 31378720033. The next prime is 31378720141. The reversal of 31378720065 is 56002787313.

It is not a de Polignac number, because 31378720065 - 25 = 31378720033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31378719999 and 31378720026.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222192 + ... + 1247601.

It is an arithmetic number, because the mean of its divisors is an integer number (1313930408).

Almost surely, 231378720065 is an apocalyptic number.

31378720065 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31378720065 is an abundant number, since it is smaller than the sum of its proper divisors (31689939519).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31378720065 is a wasteful number, since it uses less digits than its factorization.

31378720065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469830 (or 2469819 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 31378720065 in words is "thirty-one billion, three hundred seventy-eight million, seven hundred twenty thousand, sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 2469793 7409379 12348965 17288551 27167723 37046895 51865653 81503169 86442755 135838615 190174061 259328265 298844953 407515845 570522183 896534859 950870305 1494224765 2091914671 2852610915 4482674295 6275744013 10459573355 31378720065