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645704257664 = 2717798774283
BaseRepresentation
bin10010110010101101111…
…10010001000010000000
32021201200020110220110002
421121112332101002000
541034400242221124
61212344335055132
764436103426434
oct11312676210200
92251606426402
10645704257664
11229929246874
12a51850714a8
1348b7473b95b
14233762789c4
1511be25200ae
hex9656f91080

645704257664 has 128 divisors (see below), whose sum is σ = 1381168454400. Its totient is φ = 299602427904.

The previous prime is 645704257663. The next prime is 645704257697. The reversal of 645704257664 is 466752407546.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (645704257663) 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, 150757667 + ... + 150761949.

It is an arithmetic number, because the mean of its divisors is an integer number (10790378550).

Almost surely, 2645704257664 is an apocalyptic number.

645704257664 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 645704257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690584227200).

645704257664 is an abundant number, since it is smaller than the sum of its proper divisors (735464196736).

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

645704257664 is a wasteful number, since it uses less digits than its factorization.

645704257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 56.

It can be divided in two parts, 64570 and 4257664, that added together give a palindrome (4322234).

The spelling of 645704257664 in words is "six hundred forty-five billion, seven hundred four million, two hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 128 136 158 272 316 544 632 877 1088 1264 1343 1754 2176 2528 2686 3508 4283 5056 5372 7016 8566 10112 10744 14032 14909 17132 21488 28064 29818 34264 42976 56128 59636 68528 69283 72811 85952 112256 119272 137056 138566 145622 171904 238544 274112 277132 291244 338357 477088 548224 554264 582488 676714 954176 1108528 1164976 1177811 1353428 1908352 2217056 2329952 2355622 2706856 3756191 4434112 4659904 4711244 5413712 5752069 7512382 8868224 9319808 9422488 10827424 11504138 15024764 18844976 21654848 23008276 30049528 37689952 43309696 46016552 60099056 63855247 75379904 92033104 120198112 127710494 150759808 184066208 240396224 255420988 296739089 368132416 480792448 510841976 593478178 736264832 1021683952 1186956356 2043367904 2373912712 4086735808 4747825424 5044564513 8173471616 9495650848 10089129026 18991301696 20178258052 37982603392 40356516104 80713032208 161426064416 322852128832 645704257664