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68013367733781 = 32234310771412083
BaseRepresentation
bin11110111011011100110001…
…00111111010111000010101
322220211000101112112011012200
433131232120213322320111
532403312334114440111
6400352524303235113
720216542441006521
oct1735563047727025
9286730345464180
1068013367733781
111a742341a87608
1277655432a8a99
132bc482ca992a2
1412b1c16506d81
157ce2b53a8256
hex3ddb989fae15

68013367733781 has 48 divisors (see below), whose sum is σ = 105877269628416. Its totient is φ = 41966309756448.

The previous prime is 68013367733749. The next prime is 68013367733803. The reversal of 68013367733781 is 18733776331086.

68013367733781 is a `hidden beast` number, since 6 + 8 + 0 + 133 + 67 + 73 + 378 + 1 = 666.

It is not a de Polignac number, because 68013367733781 - 25 = 68013367733749 is a prime.

It is a super-2 number, since 2×680133677337812 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68013367733881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34753635 + ... + 36658448.

It is an arithmetic number, because the mean of its divisors is an integer number (2205776450592).

Almost surely, 268013367733781 is an apocalyptic number.

It is an amenable number.

68013367733781 is a deficient number, since it is larger than the sum of its proper divisors (37863901894635).

68013367733781 is a wasteful number, since it uses less digits than its factorization.

68013367733781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71412262 (or 71412259 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 68013367733781 in words is "sixty-eight trillion, thirteen billion, three hundred sixty-seven million, seven hundred thirty-three thousand, seven hundred eighty-one".

Divisors: 1 3 9 23 43 69 107 129 207 321 387 963 989 2461 2967 4601 7383 8901 13803 22149 41409 105823 317469 952407 71412083 214236249 642708747 1642477909 3070719569 4927433727 7641092881 9212158707 14782301181 22923278643 27636476121 68769835929 70626550087 175745136263 211879650261 328566993883 527235408789 635638950783 985700981649 1581706226367 2957102944947 7557040859309 22671122577927 68013367733781