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34564144664 = 2373789187433
BaseRepresentation
bin100000001100001011…
…101111111000011000
310022012211112110211002
4200030023233320120
51031241410112124
623513433324132
72332350245030
oct401413577030
9108184473732
1034564144664
1113727616515
126847566648
13334ab3a20a
14195c6908c0
15d746880ae
hex80c2efe18

34564144664 has 64 divisors (see below), whose sum is σ = 76922913600. Its totient is φ = 14250829824.

The previous prime is 34564144663. The next prime is 34564144691. The reversal of 34564144664 is 46644146543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34564144663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90692 + ... + 278124.

It is an arithmetic number, because the mean of its divisors is an integer number (1201920525).

Almost surely, 234564144664 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 34564144664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38461456800).

34564144664 is an abundant number, since it is smaller than the sum of its proper divisors (42358768936).

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

34564144664 is a wasteful number, since it uses less digits than its factorization.

34564144664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187572 (or 187568 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 47.

The spelling of 34564144664 in words is "thirty-four billion, five hundred sixty-four million, one hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 89 148 178 259 296 356 518 623 712 1036 1246 2072 2492 3293 4984 6586 13172 23051 26344 46102 92204 184408 187433 374866 749732 1312031 1499464 2624062 5248124 6935021 10496248 13870042 16681537 27740084 33363074 48545147 55480168 66726148 97090294 116770759 133452296 194180588 233541518 388361176 467083036 617216869 934166072 1234433738 2468867476 4320518083 4937734952 8641036166 17282072332 34564144664