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645195264 = 2937232609
BaseRepresentation
bin100110011101001…
…110011000000000
31122222001022111220
4212131032120000
52310132222024
6144004435040
721663032520
oct4635163000
91588038456
10645195264
1130121782a
121600a8a80
13a389105c
146198d680
153b998e79
hex2674e600

645195264 has 160 divisors (see below), whose sum is σ = 2050583040. Its totient is φ = 176259072.

The previous prime is 645195251. The next prime is 645195301. The reversal of 645195264 is 462591546.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245992 + ... + 248600.

It is an arithmetic number, because the mean of its divisors is an integer number (12816144).

Almost surely, 2645195264 is an apocalyptic number.

645195264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025291520).

645195264 is an abundant number, since it is smaller than the sum of its proper divisors (1405387776).

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

645195264 is a wasteful number, since it uses less digits than its factorization.

645195264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2644 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 645195264 is about 25400.6941637428. The cubic root of 645195264 is about 864.0994398579.

The spelling of 645195264 in words is "six hundred forty-five million, one hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1104 1288 1344 1472 1536 1792 1932 2208 2576 2609 2688 2944 3584 3864 4416 5152 5218 5376 5888 7728 7827 8832 10304 10436 10752 11776 15456 15654 17664 18263 20608 20872 30912 31308 35328 36526 41216 41744 54789 60007 61824 62616 73052 82432 83488 109578 120014 123648 125232 146104 166976 180021 219156 240028 247296 250464 292208 333952 360042 420049 438312 480056 500928 584416 667904 720084 840098 876624 960112 1001856 1168832 1260147 1335808 1440168 1680196 1753248 1920224 2003712 2337664 2520294 2880336 3360392 3506496 3840448 4007424 4675328 5040588 5760672 6720784 7012992 7680896 9350656 10081176 11521344 13441568 14025984 15361792 20162352 23042688 26883136 28051968 30723584 40324704 46085376 53766272 80649408 92170752 107532544 161298816 215065088 322597632 645195264