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64312510032 = 2433148871551
BaseRepresentation
bin111011111001010100…
…110000011001010000
320011000001100000101000
4323321110300121100
52023203000310112
645313400142000
74434503213151
oct737124603120
9204001300330
1064312510032
112530280a741
121056a167900
1360ac039884
143181515928
151a161587dc
hexef9530650

64312510032 has 40 divisors (see below), whose sum is σ = 184600724480. Its totient is φ = 21437503200.

The previous prime is 64312509983. The next prime is 64312510043. The reversal of 64312510032 is 23001521346.

64312510032 is a `hidden beast` number, since 643 + 1 + 2 + 5 + 10 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×643125100322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64312509978 and 64312510005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74435344 + ... + 74436207.

It is an arithmetic number, because the mean of its divisors is an integer number (4615018112).

Almost surely, 264312510032 is an apocalyptic number.

It is an amenable number.

64312510032 is an abundant number, since it is smaller than the sum of its proper divisors (120288214448).

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

64312510032 is a wasteful number, since it uses less digits than its factorization.

64312510032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148871568 (or 148871556 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 64312510032 in words is "sixty-four billion, three hundred twelve million, five hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 148871551 297743102 446614653 595486204 893229306 1190972408 1339843959 1786458612 2381944816 2679687918 3572917224 4019531877 5359375836 7145834448 8039063754 10718751672 16078127508 21437503344 32156255016 64312510032