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640166841216 = 2734713616481
BaseRepresentation
bin10010101000011001110…
…10101100101110000000
32021012101022212000010000
421110030322230232000
540442030202404331
61210031045040000
764151634240240
oct11241472545600
92235338760100
10640166841216
11227547546941
12a409a6b6000
13484a1457386
1422daca81b20
15119bb30e0e6
hex950ceacb80

640166841216 has 320 divisors, whose sum is σ = 2179222990560. Its totient is φ = 182742220800.

The previous prime is 640166841163. The next prime is 640166841239. The reversal of 640166841216 is 612148661046.

640166841216 is a `hidden beast` number, since 64 + 0 + 166 + 8 + 412 + 16 = 666.

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 39 ways as a sum of consecutive naturals, for example, 98772696 + ... + 98779176.

Almost surely, 2640166841216 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 640166841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089611495280).

640166841216 is an abundant number, since it is smaller than the sum of its proper divisors (1539056149344).

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

640166841216 is a wasteful number, since it uses less digits than its factorization.

640166841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 640166841216 in words is "six hundred forty billion, one hundred sixty-six million, eight hundred forty-one thousand, two hundred sixteen".