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68140814148 = 223211172072763
BaseRepresentation
bin111111011101100000…
…100100111101000100
320111212211222000100100
4333131200210331010
52104023022023043
651145314044100
74631410235511
oct773540447504
9214784860310
1068140814148
1126997793240
1211258279630
13656c204094
143425b34308
151b8c2b5cd3
hexfdd824f44

68140814148 has 36 divisors (see below), whose sum is σ = 187903458288. Its totient is φ = 20648731440.

The previous prime is 68140814143. The next prime is 68140814243. The reversal of 68140814148 is 84141804186.

68140814148 is a `hidden beast` number, since 68 + 1 + 408 + 141 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (68140814143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 86035986 + ... + 86036777.

It is an arithmetic number, because the mean of its divisors is an integer number (5219540508).

Almost surely, 268140814148 is an apocalyptic number.

It is an amenable number.

68140814148 is an abundant number, since it is smaller than the sum of its proper divisors (119762644140).

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

68140814148 is a wasteful number, since it uses less digits than its factorization.

68140814148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172072784 (or 172072779 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

It can be divided in two parts, 681408 and 14148, that added together give a square (695556 = 8342).

The spelling of 68140814148 in words is "sixty-eight billion, one hundred forty million, eight hundred fourteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 172072763 344145526 516218289 688291052 1032436578 1548654867 1892800393 2064873156 3097309734 3785600786 5678401179 6194619468 7571201572 11356802358 17035203537 22713604716 34070407074 68140814148