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34686412864 = 263189196439
BaseRepresentation
bin100000010011011110…
…001010100001000000
310022112100121100020221
4200103132022201000
51032014210202424
623533522112424
72335363434055
oct402336124100
9108470540227
1034686412864
111378a637414
1268804ab714
13336a27966c
1419709db02c
15d8028a9e4
hex81378a840

34686412864 has 56 divisors (see below), whose sum is σ = 71849894400. Its totient is φ = 16595082240.

The previous prime is 34686412823. The next prime is 34686412867. The reversal of 34686412864 is 46821468643.

It is not an unprimeable number, because it can be changed into a prime (34686412867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78357 + ... + 274795.

Almost surely, 234686412864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34686412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35924947200).

34686412864 is an abundant number, since it is smaller than the sum of its proper divisors (37163481536).

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

34686412864 is a wasteful number, since it uses less digits than its factorization.

34686412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196571 (or 196561 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 34686412864 in words is "thirty-four billion, six hundred eighty-six million, four hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 89 124 178 248 356 496 712 992 1424 1984 2759 2848 5518 5696 11036 22072 44144 88288 176576 196439 392878 785756 1571512 3143024 6089609 6286048 12179218 12572096 17483071 24358436 34966142 48716872 69932284 97433744 139864568 194867488 279729136 389734976 541975201 559458272 1083950402 1118916544 2167900804 4335801608 8671603216 17343206432 34686412864