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68164132204416 = 273315726153579
BaseRepresentation
bin11110111111110101100101…
…11000101110111110000000
322221100102112120110210122110
433133322302320232332000
532413300120321020131
6400550100421135320
720233460511606243
oct1737726270567600
9287312476423573
1068164132204416
111a7a0278659876
12778a7b9b5a540
132c05b0883b921
1412b923961525a
157d318b142646
hex3dfeb2e2ef80

68164132204416 has 64 divisors (see below), whose sum is σ = 186901652851200. Its totient is φ = 21988429739520.

The previous prime is 68164132204391. The next prime is 68164132204453. The reversal of 68164132204416 is 61440223146186.

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

It is a super-2 number, since 2×681641322044162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2863064886 + ... + 2863088693.

It is an arithmetic number, because the mean of its divisors is an integer number (2920338325800).

Almost surely, 268164132204416 is an apocalyptic number.

It is an amenable number.

68164132204416 is an abundant number, since it is smaller than the sum of its proper divisors (118737520646784).

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

68164132204416 is a wasteful number, since it uses less digits than its factorization.

68164132204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726153627 (or 5726153615 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 68164132204416 in words is "sixty-eight trillion, one hundred sixty-four billion, one hundred thirty-two million, two hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 5726153579 11452307158 17178460737 22904614316 34356921474 45809228632 68713842948 91618457264 137427685896 177510760949 183236914528 274855371792 355021521898 366473829056 532532282847 549710743584 710043043796 732947658112 1065064565694 1099421487168 1420086087592 2130129131388 2198842974336 2840172175184 4260258262776 5680344350368 8520516525552 11360688700736 17041033051104 22721377401472 34082066102208 68164132204416