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68537418705 = 3357174266257
BaseRepresentation
bin111111110101001001…
…100000001111010001
320112220111020121112000
4333311021200033101
52110331034344310
651252522424213
74644264306150
oct776511401721
9215814217460
1068537418705
112708064a0a8
1211349062069
136603427032
143462693597
151bb20084c0
hexff52603d1

68537418705 has 64 divisors (see below), whose sum is σ = 147441876480. Its totient is φ = 29488361472.

The previous prime is 68537418689. The next prime is 68537418713. The reversal of 68537418705 is 50781473586.

It is a happy number.

68537418705 is a `hidden beast` number, since 68 + 537 + 41 + 8 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 68537418705 - 24 = 68537418689 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 2117064 + ... + 2149193.

It is an arithmetic number, because the mean of its divisors is an integer number (2303779320).

Almost surely, 268537418705 is an apocalyptic number.

It is an amenable number.

68537418705 is an abundant number, since it is smaller than the sum of its proper divisors (78904457775).

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

68537418705 is a wasteful number, since it uses less digits than its factorization.

68537418705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266295 (or 4266289 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 68537418705 in words is "sixty-eight billion, five hundred thirty-seven million, four hundred eighteen thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 85 105 119 135 153 189 255 315 357 459 595 765 945 1071 1785 2295 3213 5355 16065 4266257 12798771 21331285 29863799 38396313 63993855 72526369 89591397 115188939 149318995 191981565 217579107 268774191 362631845 447956985 507684583 575944695 652737321 806322573 1087895535 1343870955 1523053749 1958211963 2538422915 3263686605 4031612865 4569161247 7615268745 9791059815 13707483741 22845806235 68537418705