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5643001664 = 26596124499
BaseRepresentation
bin1010100000101100…
…10101111101000000
3112120021022012000122
411100112111331000
543024102023124
62331541035412
7256560502616
oct52026257500
915507265018
105643001664
112436366743
1211159b5b68
136bc132351
143b763d6b6
1523061a75e
hex150595f40

5643001664 has 56 divisors (see below), whose sum is σ = 11574780000. Its totient is φ = 2728097280.

The previous prime is 5643001649. The next prime is 5643001733. The reversal of 5643001664 is 4661003465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218087 + ... + 242585.

It is an arithmetic number, because the mean of its divisors is an integer number (206692500).

Almost surely, 25643001664 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 5643001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787390000).

5643001664 is an abundant number, since it is smaller than the sum of its proper divisors (5931778336).

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

5643001664 is a wasteful number, since it uses less digits than its factorization.

5643001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24631 (or 24621 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 5643001664 is about 75119.9152289192. The cubic root of 5643001664 is about 1780.3418171149.

The spelling of 5643001664 in words is "five billion, six hundred forty-three million, one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 61 64 118 122 236 244 472 488 944 976 1888 1952 3599 3776 3904 7198 14396 24499 28792 48998 57584 97996 115168 195992 230336 391984 783968 1445441 1494439 1567936 2890882 2988878 5781764 5977756 11563528 11955512 23127056 23911024 46254112 47822048 88171901 92508224 95644096 176343802 352687604 705375208 1410750416 2821500832 5643001664