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655016064 = 2734736293
BaseRepresentation
bin100111000010101…
…100000010000000
31200122112021010020
4213002230002000
52320141003224
6144555133440
722142354553
oct4702540200
91618467106
10655016064
1130681529a
12163444280
13a591c191
1462dc869a
153c788c79
hex270ac080

655016064 has 64 divisors (see below), whose sum is σ = 1776954240. Its totient is φ = 213687296.

The previous prime is 655016027. The next prime is 655016099. The reversal of 655016064 is 460610556.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99 + ... + 36194.

It is an arithmetic number, because the mean of its divisors is an integer number (27764910).

Almost surely, 2655016064 is an apocalyptic number.

655016064 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 655016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888477120).

655016064 is an abundant number, since it is smaller than the sum of its proper divisors (1121938176).

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

655016064 is a wasteful number, since it uses less digits than its factorization.

655016064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36357 (or 36345 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 655016064 is about 25593.2816184248. The cubic root of 655016064 is about 868.4616598850.

The spelling of 655016064 in words is "six hundred fifty-five million, sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 36293 72586 108879 145172 217758 290344 435516 580688 871032 1161376 1705771 1742064 2322752 3411542 3484128 4645504 5117313 6823084 6968256 10234626 13646168 13936512 20469252 27292336 40938504 54584672 81877008 109169344 163754016 218338688 327508032 655016064