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645117372 = 22351096089
BaseRepresentation
bin100110011100111…
…011010110111100
31122221220100200000
4212130323112330
52310122223442
6144003034300
721662256444
oct4634732674
91587810600
10645117372
11301174259
1216006b990
13a3864773
146196d124
153b980d4c
hex2673b5bc

645117372 has 72 divisors (see below), whose sum is σ = 1706905200. Its totient is φ = 213031296.

The previous prime is 645117367. The next prime is 645117373. The reversal of 645117372 is 273711546.

It is a happy number.

645117372 is a `hidden beast` number, since 6 + 4 + 511 + 73 + 72 = 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 (645117373) 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, 102904 + ... + 108992.

Almost surely, 2645117372 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 645117372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853452600).

645117372 is an abundant number, since it is smaller than the sum of its proper divisors (1061787828).

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

645117372 is a wasteful number, since it uses less digits than its factorization.

645117372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6203 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 645117372 is about 25399.1608522801. The cubic root of 645117372 is about 864.0646652990.

The spelling of 645117372 in words is "six hundred forty-five million, one hundred seventeen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 243 324 327 436 486 654 972 981 1308 1962 2943 3924 5886 6089 8829 11772 12178 17658 18267 24356 26487 35316 36534 52974 54801 73068 105948 109602 164403 219204 328806 493209 657612 663701 986418 1327402 1479627 1972836 1991103 2654804 2959254 3982206 5918508 5973309 7964412 11946618 17919927 23893236 35839854 53759781 71679708 107519562 161279343 215039124 322558686 645117372