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68007040134 = 23112541173149
BaseRepresentation
bin111111010101100010…
…010001010010000110
320111112112020120220020
4333111202101102012
52103234300241014
651124134520010
74625164206015
oct772542212206
9214475216806
1068007040134
1126929223900
121121b506006
13654a596867
143412070a7c
151b8068e1a9
hexfd5891486

68007040134 has 48 divisors (see below), whose sum is σ = 149780290800. Its totient is φ = 20569982400.

The previous prime is 68007040103. The next prime is 68007040151. The reversal of 68007040134 is 43104070086.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 68007040095 and 68007040104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306192 + ... + 479340.

It is an arithmetic number, because the mean of its divisors is an integer number (3120422725).

Almost surely, 268007040134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68007040134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74890145400).

68007040134 is an abundant number, since it is smaller than the sum of its proper divisors (81773250666).

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

68007040134 is a wasteful number, since it uses less digits than its factorization.

68007040134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173717 (or 173706 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Multiplying 68007040134 by its sum of digits (33), we get a palindrome (2244232324422).

The spelling of 68007040134 in words is "sixty-eight billion, seven million, forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 541 726 1082 1623 3246 5951 11902 17853 35706 65461 130922 173149 196383 346298 392766 519447 1038894 1904639 3809278 5713917 11427834 20951029 41902058 62853087 93673609 125706174 187347218 281020827 562041654 1030409699 2060819398 3091229097 6182458194 11334506689 22669013378 34003520067 68007040134