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255704732064 = 2535311060769
BaseRepresentation
bin1110111000100100110…
…0001001000110100000
3220110000111120021100000
43232021030021012200
513142140402411224
6313245155500000
724321413234445
oct3561114110640
9813014507300
10255704732064
1199497722951
1241682bb7600
131b160c259b2
14c53a31d9cc
1569b8a7a0c9
hex3b893091a0

255704732064 has 144 divisors (see below), whose sum is σ = 778418484480. Its totient is φ = 82485319680.

The previous prime is 255704732051. The next prime is 255704732069. The reversal of 255704732064 is 460237407552.

255704732064 is a `hidden beast` number, since 2 + 5 + 570 + 4 + 73 + 2 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (255704732069) 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, 289329 + ... + 771440.

It is an arithmetic number, because the mean of its divisors is an integer number (5405683920).

Almost surely, 2255704732064 is an apocalyptic number.

255704732064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

255704732064 is an abundant number, since it is smaller than the sum of its proper divisors (522713752416).

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

255704732064 is a wasteful number, since it uses less digits than its factorization.

255704732064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060825 (or 1060805 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 255704732064 in words is "two hundred fifty-five billion, seven hundred four million, seven hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 5022 6696 7533 7776 8928 10044 13392 15066 20088 26784 30132 40176 60264 80352 120528 241056 1060769 2121538 3182307 4243076 6364614 8486152 9546921 12729228 16972304 19093842 25458456 28640763 32883839 33944608 38187684 50916912 57281526 65767678 76375368 85922289 98651517 101833824 114563052 131535356 152750736 171844578 197303034 229126104 257766867 263070712 295954551 305501472 343689156 394606068 458252208 515533734 526141424 591909102 687378312 789212136 887863653 916504416 1031067468 1052282848 1183818204 1374756624 1578424272 1775727306 2062134936 2367636408 2663590959 2749513248 3156848544 3551454612 4124269872 4735272816 5327181918 7102909224 7990772877 8248539744 9470545632 10654363836 14205818448 15981545754 21308727672 28411636896 31963091508 42617455344 63926183016 85234910688 127852366032 255704732064