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640704151296 = 283211172276551
BaseRepresentation
bin10010101001011001111…
…00010111111100000000
32021020202202220011222100
421110230330113330000
540444130230320141
61210200241310400
764201150300026
oct11245474277400
92236682804870
10640704151296
112277a2876960
12a420a635400
1348558873831
142302018a716
15119ed5970b6
hex952cf17f00

640704151296 has 432 divisors, whose sum is σ = 2143516048128. Its totient is φ = 181899264000.

The previous prime is 640704151273. The next prime is 640704151303. The reversal of 640704151296 is 692151407046.

640704151296 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 0 + 41 + 512 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 97799221 + ... + 97805771.

It is an arithmetic number, because the mean of its divisors is an integer number (4961842704).

Almost surely, 2640704151296 is an apocalyptic number.

640704151296 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640704151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071758024064).

640704151296 is an abundant number, since it is smaller than the sum of its proper divisors (1502811896832).

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

640704151296 is a wasteful number, since it uses less digits than its factorization.

640704151296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 640704151296 in words is "six hundred forty billion, seven hundred four million, one hundred fifty-one thousand, two hundred ninety-six".