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64233810432 = 293311795347
BaseRepresentation
bin111011110100101000…
…100010101000000000
320010210120020122211000
4323310220202220000
52023022323413212
645301505252000
74432526244231
oct736450425000
9203716218730
1064233810432
1125272347550
1210547934000
13609894336c
143174cab088
151a0e2b01dc
hexef4a22a00

64233810432 has 320 divisors, whose sum is σ = 210086553600. Its totient is φ = 19214807040.

The previous prime is 64233810419. The next prime is 64233810467. The reversal of 64233810432 is 23401833246.

64233810432 is a `hidden beast` number, since 642 + 3 + 3 + 8 + 1 + 0 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×642338104322 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12010383 + ... + 12015729.

It is an arithmetic number, because the mean of its divisors is an integer number (656520480).

Almost surely, 264233810432 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 64233810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105043276800).

64233810432 is an abundant number, since it is smaller than the sum of its proper divisors (145852743168).

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

64233810432 is a wasteful number, since it uses less digits than its factorization.

64233810432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 64233810432 in words is "sixty-four billion, two hundred thirty-three million, eight hundred ten thousand, four hundred thirty-two".