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13754363841 = 348321572
BaseRepresentation
bin11001100111101001…
…01110111111000001
31022111120021002010000
430303310232333001
5211132104120331
610152455430213
7664563110061
oct146364567701
938446232100
1013754363841
115918a86149
1227ba385369
1313b276683a
14946a153a1
155577b20e6
hex333d2efc1

13754363841 has 45 divisors (see below), whose sum is σ = 20930484531. Its totient is φ = 9001397808.

The previous prime is 13754363783. The next prime is 13754363873. The reversal of 13754363841 is 14836345731.

The square root of 13754363841 is 117279.

It is a perfect power (a square), and thus also a powerful number.

13754363841 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 4 + 3 + 638 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4031615025 + 9722748816 = 63495^2 + 98604^2 .

It is not a de Polignac number, because 13754363841 - 27 = 13754363713 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13754363881) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 87607335 + ... + 87607491.

Almost surely, 213754363841 is an apocalyptic number.

13754363841 is the 117279-th square number.

13754363841 is the 58640-th centered octagonal number.

It is an amenable number.

13754363841 is a deficient number, since it is larger than the sum of its proper divisors (7176120690).

13754363841 is an frugal number, since it uses more digits than its factorization.

13754363841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 243 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 13754363841 in words is "thirteen billion, seven hundred fifty-four million, three hundred sixty-three thousand, eight hundred forty-one".

Divisors: 1 3 9 27 81 83 157 249 471 747 1413 2241 4239 6723 6889 12717 13031 20667 24649 39093 62001 73947 117279 186003 221841 351837 558009 665523 1055511 1081573 1996569 2045867 3244719 6137601 9734157 18412803 29202471 55238409 87607413 165715227 169806961 509420883 1528262649 4584787947 13754363841