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67134157461 = 32717916273659
BaseRepresentation
bin111110100001100000…
…011111001010010101
320102021200202112222100
4332201200133022111
52044442321014321
650501353552313
74564434631410
oct764140371225
9212250675870
1067134157461
1126520533168
1211017115699
13643b7a6037
14336c172b77
151b2dc1c326
hexfa181f295

67134157461 has 48 divisors (see below), whose sum is σ = 111542745600. Its totient is φ = 38114194464.

The previous prime is 67134157457. The next prime is 67134157477. The reversal of 67134157461 is 16475143176.

It is a happy number.

67134157461 is a `hidden beast` number, since 6 + 7 + 1 + 34 + 157 + 461 = 666.

67134157461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67134157461 - 22 = 67134157457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67134157421) 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, 18345850 + ... + 18349508.

It is an arithmetic number, because the mean of its divisors is an integer number (2323807200).

Almost surely, 267134157461 is an apocalyptic number.

It is an amenable number.

67134157461 is a deficient number, since it is larger than the sum of its proper divisors (44408588139).

67134157461 is a wasteful number, since it uses less digits than its factorization.

67134157461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5475 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 67134157461 in words is "sixty-seven billion, one hundred thirty-four million, one hundred fifty-seven thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 63 179 537 1253 1611 1627 3659 3759 4881 10977 11277 11389 14643 25613 32931 34167 76839 102501 230517 291233 654961 873699 1964883 2038631 2621097 4584727 5894649 5953193 6115893 13754181 17859579 18347679 41262543 41672351 53578737 125017053 375051159 1065621547 3196864641 7459350829 9590593923 22378052487 67134157461