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640263596544 = 29321113971651
BaseRepresentation
bin10010101000100101010…
…11110010101000000000
32021012122001220200110200
421110102223302220000
540442224440042134
61210044422525200
764154220526605
oct11242253625000
92235561820420
10640263596544
11227597121620
12a4106b96800
13484b8503050
1422dbb86a6ac
15119c4a72499
hex9512af2a00

640263596544 has 240 divisors, whose sum is σ = 2170895991264. Its totient is φ = 179094528000.

The previous prime is 640263596509. The next prime is 640263596549. The reversal of 640263596544 is 445695362046.

640263596544 is a `hidden beast` number, since 6 + 4 + 0 + 2 + 6 + 3 + 5 + 96 + 544 = 666.

It is not an unprimeable number, because it can be changed into a prime (640263596549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173119 + ... + 1144769.

Almost surely, 2640263596544 is an apocalyptic number.

640263596544 is a gapful number since it is divisible by the number (64) 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 640263596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085447995632).

640263596544 is an abundant number, since it is smaller than the sum of its proper divisors (1530632394720).

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

640263596544 is a wasteful number, since it uses less digits than its factorization.

640263596544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971699 (or 971680 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 640263596544 in words is "six hundred forty billion, two hundred sixty-three million, five hundred ninety-six thousand, five hundred forty-four".