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34218582012 = 223225114812557
BaseRepresentation
bin11111110111100101…
…100001111111111100
310021022202022001222100
4133313211201333330
51030034424111022
623415250545100
72320653101526
oct376745417774
9107282261870
1034218582012
111356a55214a
12676b898190
1332c4378984
14192881aa16
15d541791ac
hex7f7961ffc

34218582012 has 72 divisors (see below), whose sum is σ = 86934202992. Its totient is φ = 11348640000.

The previous prime is 34218581951. The next prime is 34218582043. The reversal of 34218582012 is 21028581243.

It is a happy number.

It is a super-2 number, since 2×342185820122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13381038 + ... + 13383594.

It is an arithmetic number, because the mean of its divisors is an integer number (1207419486).

Almost surely, 234218582012 is an apocalyptic number.

It is an amenable number.

34218582012 is an abundant number, since it is smaller than the sum of its proper divisors (52715620980).

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

34218582012 is a wasteful number, since it uses less digits than its factorization.

34218582012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 34218582012 in words is "thirty-four billion, two hundred eighteen million, five hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 251 502 753 1004 1481 1506 2259 2557 2962 3012 4443 4518 5114 5924 7671 8886 9036 10228 13329 15342 17772 23013 26658 30684 46026 53316 92052 371731 641807 743462 1115193 1283614 1486924 1925421 2230386 2567228 3345579 3786917 3850842 4460772 5776263 6691158 7573834 7701684 11360751 11552526 13382316 15147668 22721502 23105052 34082253 45443004 68164506 136329012 950516167 1901032334 2851548501 3802064668 5703097002 8554645503 11406194004 17109291006 34218582012