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13831876881 = 3219721992
BaseRepresentation
bin11001110000111000…
…11011000100010001
31022200222010011000100
430320130123010101
5211311430030011
610204305043013
7666524004444
oct147034330421
938628104010
1013831876881
115958808909
122820326469
1313c5835c44
1495303165b
1555e4c3d56
hex33871b111

13831876881 has 27 divisors (see below), whose sum is σ = 20182728891. Its totient is φ = 9128340144.

The previous prime is 13831876847. The next prime is 13831876897. The reversal of 13831876881 is 18867813831.

It is a happy number.

The square root of 13831876881 is 117609.

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

13831876881 is a `hidden beast` number, since 1 + 383 + 187 + 6 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13552452225 + 279424656 = 116415^2 + 16716^2 .

It is not a de Polignac number, because 13831876881 - 213 = 13831868689 is a prime.

It is a super-2 number, since 2×138318768812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13831876181) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69506820 + ... + 69507018.

Almost surely, 213831876881 is an apocalyptic number.

13831876881 is the 117609-th square number.

13831876881 is the 58805-th centered octagonal number.

It is an amenable number.

13831876881 is a deficient number, since it is larger than the sum of its proper divisors (6350852010).

13831876881 is an frugal number, since it uses more digits than its factorization.

13831876881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 13831876881 in words is "thirteen billion, eight hundred thirty-one million, eight hundred seventy-six thousand, eight hundred eighty-one".

Divisors: 1 3 9 197 199 591 597 1773 1791 38809 39203 39601 116427 117609 118803 349281 352827 356409 7722991 7801397 23168973 23404191 69506919 70212573 1536875209 4610625627 13831876881