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64016429472 = 2532317170299
BaseRepresentation
bin111011100111101011…
…010011000110100000
320010020102012120012100
4323213223103012200
52022101201220342
645224142130400
74424246446422
oct734753230640
9203212176170
1064016429472
1125170672a66
12104a6b80a00
1360628b1a88
143154082812
1519ea170e4c
hexee7ad31a0

64016429472 has 72 divisors (see below), whose sum is σ = 187919222400. Its totient is φ = 20650458240.

The previous prime is 64016429461. The next prime is 64016429479. The reversal of 64016429472 is 27492461046.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (64016429479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3576222 + ... + 3594077.

It is an arithmetic number, because the mean of its divisors is an integer number (2609989200).

Almost surely, 264016429472 is an apocalyptic number.

64016429472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

64016429472 is an abundant number, since it is smaller than the sum of its proper divisors (123902792928).

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

64016429472 is a wasteful number, since it uses less digits than its factorization.

64016429472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170346 (or 7170335 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 64016429472 in words is "sixty-four billion, sixteen million, four hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 7170299 14340598 21510897 28681196 43021794 57362392 64532691 86043588 114724784 129065382 172087176 222279269 229449568 258130764 344174352 444558538 516261528 666837807 688348704 889117076 1032523056 1333675614 1778234152 2000513421 2065046112 2667351228 3556468304 4001026842 5334702456 7112936608 8002053684 10669404912 16004107368 21338809824 32008214736 64016429472