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640322502516 = 2232711051238361
BaseRepresentation
bin10010101000101100011…
…00011111111101110100
32021012210011202102021100
421110112030133331310
540442340030040031
61210054325250100
764155534316254
oct11242614377564
92235704672240
10640322502516
112276173a5544
12a4122863930
13484c7789058
1422dc5601964
15119c9d0ade6
hex951631ff74

640322502516 has 72 divisors (see below), whose sum is σ = 1642958710848. Its totient is φ = 210233520000.

The previous prime is 640322502511. The next prime is 640322502541. The reversal of 640322502516 is 615205223046.

640322502516 is a `hidden beast` number, since 6 + 403 + 225 + 0 + 25 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640322502511) 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, 2567176 + ... + 2805536.

It is an arithmetic number, because the mean of its divisors is an integer number (22818870984).

Almost surely, 2640322502516 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 640322502516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821479355424).

640322502516 is an abundant number, since it is smaller than the sum of its proper divisors (1002636208332).

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

640322502516 is a wasteful number, since it uses less digits than its factorization.

640322502516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239493 (or 239488 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 640322502516 in words is "six hundred forty billion, three hundred twenty-two million, five hundred two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1051 1278 2102 2556 3153 4204 6306 9459 12612 18918 37836 74621 149242 223863 238361 298484 447726 476722 671589 715083 895452 953444 1343178 1430166 2145249 2686356 2860332 4290498 8580996 16923631 33847262 50770893 67694524 101541786 152312679 203083572 250517411 304625358 501034822 609250716 751552233 1002069644 1503104466 2254656699 3006208932 4509313398 9018626796 17786736181 35573472362 53360208543 71146944724 106720417086 160080625629 213440834172 320161251258 640322502516