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64315751456 = 251131510043
BaseRepresentation
bin111011111001100001…
…000111110000100000
320011000021102200202202
4323321201013300200
52023204313021311
645313553432332
74434542603315
oct737141076040
9204007380682
1064315751456
1125304624000
121056b26b6a8
1360ac903088
143181b1ad0c
151a16598e3b
hexef9847c20

64315751456 has 48 divisors (see below), whose sum is σ = 139274378208. Its totient is φ = 29234413120.

The previous prime is 64315751419. The next prime is 64315751459. The reversal of 64315751456 is 65415751346.

It is a happy number.

It is a super-2 number, since 2×643157514562 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64315751456.

It is not an unprimeable number, because it can be changed into a prime (64315751459) by changing a digit.

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, 712430 + ... + 797613.

It is an arithmetic number, because the mean of its divisors is an integer number (2901549546).

Almost surely, 264315751456 is an apocalyptic number.

It is an amenable number.

64315751456 is an abundant number, since it is smaller than the sum of its proper divisors (74958626752).

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

64315751456 is a wasteful number, since it uses less digits than its factorization.

64315751456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510086 (or 1510056 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 47.

The spelling of 64315751456 in words is "sixty-four billion, three hundred fifteen million, seven hundred fifty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1331 1936 2662 3872 5324 10648 21296 42592 1510043 3020086 6040172 12080344 16610473 24160688 33220946 48321376 66441892 132883784 182715203 265767568 365430406 531535136 730860812 1461721624 2009867233 2923443248 4019734466 5846886496 8039468932 16078937864 32157875728 64315751456