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67138403922 = 23215723892
BaseRepresentation
bin111110100001110000…
…101011111001010010
320102021222202022000200
4332201300223321102
52044444412411142
650502025000030
74564516005642
oct764160537122
9212258668020
1067138403922
1126522973637
1211018623016
13643c631b35
14336c95a522
151b2e2aa64c
hexfa1c2be52

67138403922 has 54 divisors (see below), whose sum is σ = 146776296303. Its totient is φ = 22179759264.

The previous prime is 67138403903. The next prime is 67138404001. The reversal of 67138403922 is 22930483176.

It can be written as a sum of positive squares in 5 ways, for example, as 5639859801 + 61498544121 = 75099^2 + 247989^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=183219.

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 26 ways as a sum of consecutive naturals, for example, 172592104 + ... + 172592492.

Almost surely, 267138403922 is an apocalyptic number.

67138403922 is an abundant number, since it is smaller than the sum of its proper divisors (79637892381).

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

67138403922 is an equidigital number, since it uses as much as digits as its factorization.

67138403922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 67138403922 in words is "sixty-seven billion, one hundred thirty-eight million, four hundred three thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 157 314 389 471 778 942 1167 1413 2334 2826 3501 7002 24649 49298 61073 73947 122146 147894 151321 183219 221841 302642 366438 443682 453963 549657 907926 1099314 1361889 2723778 9588461 19176922 23757397 28765383 47514794 57530766 71272191 86296149 142544382 172592298 213816573 427633146 3729911329 7459822658 11189733987 22379467974 33569201961 67138403922