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645601968 = 243311135859
BaseRepresentation
bin100110011110110…
…001101010110000
31122222210222102000
4212132301222300
52310233230333
6144021254000
721666345324
oct4636615260
91588728360
10645601968
11301475350
12160264300
13a39a41cb
1461a57984
153ba29713
hex267b1ab0

645601968 has 80 divisors (see below), whose sum is σ = 2021596800. Its totient is φ = 195635520.

The previous prime is 645601967. The next prime is 645601993. The reversal of 645601968 is 869106546.

645601968 is a `hidden beast` number, since 6 + 456 + 0 + 196 + 8 = 666.

645601968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (645601967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63178 + ... + 72681.

It is an arithmetic number, because the mean of its divisors is an integer number (25269960).

Almost surely, 2645601968 is an apocalyptic number.

It is an amenable number.

645601968 is an abundant number, since it is smaller than the sum of its proper divisors (1375994832).

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

645601968 is a wasteful number, since it uses less digits than its factorization.

645601968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135887 (or 135875 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 645601968 is about 25408.6986679759. The cubic root of 645601968 is about 864.2809657211.

The spelling of 645601968 in words is "six hundred forty-five million, six hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 135859 271718 407577 543436 815154 1086872 1222731 1494449 1630308 2173744 2445462 2988898 3260616 3668193 4483347 4890924 5977796 6521232 7336386 8966694 9781848 11955592 13450041 14672772 17933388 19563696 23911184 26900082 29345544 35866776 40350123 53800164 58691088 71733552 80700246 107600328 161400492 215200656 322800984 645601968