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645722064 = 243313313709
BaseRepresentation
bin100110011111001…
…110111111010000
31200000001002011000
4212133032333100
52310301101224
6144024022000
722000355421
oct4637167720
91600032130
10645722064
113015475a9
12160301900
13a3a16a80
1461a89648
153ba500c9
hex267cefd0

645722064 has 160 divisors (see below), whose sum is σ = 2060979200. Its totient is φ = 192222720.

The previous prime is 645722059. The next prime is 645722083. The reversal of 645722064 is 460227546.

645722064 is a `hidden beast` number, since 6 + 4 + 572 + 20 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172242 + ... + 175950.

It is an arithmetic number, because the mean of its divisors is an integer number (12881120).

Almost surely, 2645722064 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 645722064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030489600).

645722064 is an abundant number, since it is smaller than the sum of its proper divisors (1415257136).

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

645722064 is a wasteful number, since it uses less digits than its factorization.

645722064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 645722064 is about 25411.0618432210. The cubic root of 645722064 is about 864.3345540808.

The spelling of 645722064 in words is "six hundred forty-five million, seven hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 312 351 372 403 432 468 496 558 624 702 744 806 837 936 1116 1209 1404 1488 1612 1674 1872 2232 2418 2808 3224 3348 3627 3709 4464 4836 5616 6448 6696 7254 7418 9672 10881 11127 13392 14508 14836 19344 21762 22254 29016 29672 33381 43524 44508 48217 58032 59344 66762 87048 89016 96434 100143 114979 133524 144651 174096 178032 192868 200286 229958 267048 289302 344937 385736 400572 433953 459916 534096 578604 689874 771472 801144 867906 919832 1034811 1157208 1301859 1379748 1494727 1602288 1735812 1839664 2069622 2314416 2603718 2759496 2989454 3104433 3471624 4139244 4484181 5207436 5518992 5978908 6208866 6943248 8278488 8968362 10414872 11957816 12417732 13452543 16556976 17936724 20829744 23915632 24835464 26905086 35873448 40357629 49670928 53810172 71746896 80715258 107620344 161430516 215240688 322861032 645722064