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668053267632 = 24336125351141
BaseRepresentation
bin10011011100010110001…
…00111110010010110000
32100212100210002020121000
421232023010332102300
541421133114031012
61230522140002000
766156661040052
oct11561304762260
92325323066530
10668053267632
11238357720843
12a9581830300
134acc698b2ca
14244965098d2
151259e5ddddc
hex9b8b13e4b0

668053267632 has 80 divisors (see below), whose sum is σ = 1948995796960. Its totient is φ = 219033849600.

The previous prime is 668053267621. The next prime is 668053267703. The reversal of 668053267632 is 236762350866.

668053267632 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 532 + 6 + 76 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12649219 + ... + 12701922.

It is an arithmetic number, because the mean of its divisors is an integer number (24362447462).

Almost surely, 2668053267632 is an apocalyptic number.

It is an amenable number.

668053267632 is an abundant number, since it is smaller than the sum of its proper divisors (1280942529328).

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

668053267632 is a wasteful number, since it uses less digits than its factorization.

668053267632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25351219 (or 25351207 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 668053267632 in words is "six hundred sixty-eight billion, fifty-three million, two hundred sixty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 13176 26352 25351141 50702282 76053423 101404564 152106846 202809128 228160269 304213692 405618256 456320538 608427384 684480807 912641076 1216854768 1368961614 1546419601 1825282152 2737923228 3092839202 3650564304 4639258803 5475846456 6185678404 9278517606 10951692912 12371356808 13917776409 18557035212 24742713616 27835552818 37114070424 41753329227 55671105636 74228140848 83506658454 111342211272 167013316908 222684422544 334026633816 668053267632