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34687812816 = 2433142756269
BaseRepresentation
bin100000010011100011…
…100000010011010000
310022112110020110122000
4200103203200103100
51032020040002231
623534012114000
72335411354416
oct402343402320
9108473213560
1034687812816
11137904031a8
126880a65900
13336a649937
141970c832b6
15d804656e6
hex8138e04d0

34687812816 has 80 divisors (see below), whose sum is σ = 99638414400. Its totient is φ = 11554296192.

The previous prime is 34687812799. The next prime is 34687812823. The reversal of 34687812816 is 61821878643.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588330 + ... + 644598.

It is an arithmetic number, because the mean of its divisors is an integer number (1245480180).

Almost surely, 234687812816 is an apocalyptic number.

34687812816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34687812816 is an abundant number, since it is smaller than the sum of its proper divisors (64950601584).

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

34687812816 is a wasteful number, since it uses less digits than its factorization.

34687812816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57713 (or 57701 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 34687812816 in words is "thirty-four billion, six hundred eighty-seven million, eight hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1427 2854 4281 5708 8562 11416 12843 17124 22832 25686 34248 38529 51372 56269 68496 77058 102744 112538 154116 168807 205488 225076 308232 337614 450152 506421 616464 675228 900304 1012842 1350456 1519263 2025684 2700912 3038526 4051368 6077052 8102736 12154104 24308208 80295863 160591726 240887589 321183452 481775178 642366904 722662767 963550356 1284733808 1445325534 1927100712 2167988301 2890651068 3854201424 4335976602 5781302136 8671953204 11562604272 17343906408 34687812816