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405689937138 = 23264135161201
BaseRepresentation
bin1011110011101010000…
…00010010110011110010
31102210011020012010101100
411321311000102303302
523121323110442023
6510212115145230
741211242366013
oct5716500226362
91383136163340
10405689937138
11147063436392
12667608a5216
132c3443c4c55
14158c7b3d00a
15a8461d5c43
hex5e75012cf2

405689937138 has 24 divisors (see below), whose sum is σ = 880366175676. Its totient is φ = 135019008000.

The previous prime is 405689937131. The next prime is 405689937179. The reversal of 405689937138 is 831739986504.

405689937138 is a `hidden beast` number, since 4 + 0 + 568 + 9 + 9 + 37 + 1 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 404606671569 + 1083265569 = 636087^2 + 32913^2 .

It is not an unprimeable number, because it can be changed into a prime (405689937131) 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, 17569063 + ... + 17592138.

Almost surely, 2405689937138 is an apocalyptic number.

405689937138 is an abundant number, since it is smaller than the sum of its proper divisors (474676238538).

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

405689937138 is a wasteful number, since it uses less digits than its factorization.

405689937138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35161850 (or 35161847 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 405689937138 in words is "four hundred five billion, six hundred eighty-nine million, nine hundred thirty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 641 1282 1923 3846 5769 11538 35161201 70322402 105483603 210967206 316450809 632901618 22538329841 45076659682 67614989523 135229979046 202844968569 405689937138