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64145516760 = 2335513507641
BaseRepresentation
bin111011101111010111…
…101110100011011000
320010120102002212200000
4323233113232203120
52022332223014020
645245033013000
74430404616253
oct735727564330
9203512085600
1064145516760
1125227521176
1210522254160
13608356aca0
14316728609a
151a0666e090
hexeef5ee8d8

64145516760 has 192 divisors, whose sum is σ = 232824926880. Its totient is φ = 15789634560.

The previous prime is 64145516749. The next prime is 64145516767. The reversal of 64145516760 is 6761554146.

64145516760 is a `hidden beast` number, since 64 + 1 + 4 + 5 + 516 + 76 + 0 = 666.

It is a super-2 number, since 2×641455167602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64145516767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127461 + ... + 380180.

Almost surely, 264145516760 is an apocalyptic number.

64145516760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64145516760 is an abundant number, since it is smaller than the sum of its proper divisors (168679410120).

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

64145516760 is a wasteful number, since it uses less digits than its factorization.

64145516760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507680 (or 507664 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 64145516760 in words is "sixty-four billion, one hundred forty-five million, five hundred sixteen thousand, seven hundred sixty".