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13829795125 = 53318134781
BaseRepresentation
bin11001110000101000…
…11110110100110101
31022200211012101101021
430320110132310311
5211310411421000
610204152301141
7666500214256
oct147024366465
938624171337
1013829795125
115957616853
12281b6a17b1
1313c5287533
14952a4cb2d
1555e21211a
hex33851ed35

13829795125 has 16 divisors (see below), whose sum is σ = 17265506544. Its totient is φ = 11060040000.

The previous prime is 13829795039. The next prime is 13829795141. The reversal of 13829795125 is 52159792831.

It can be written as a sum of positive squares in 8 ways, for example, as 9024810001 + 4804985124 = 94999^2 + 69318^2 .

It is not a de Polignac number, because 13829795125 - 27 = 13829794997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380235 + ... + 415015.

It is an arithmetic number, because the mean of its divisors is an integer number (1079094159).

Almost surely, 213829795125 is an apocalyptic number.

It is an amenable number.

13829795125 is a deficient number, since it is larger than the sum of its proper divisors (3435711419).

13829795125 is an equidigital number, since it uses as much as digits as its factorization.

13829795125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37977 (or 37967 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The spelling of 13829795125 in words is "thirteen billion, eight hundred twenty-nine million, seven hundred ninety-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 3181 15905 34781 79525 173905 397625 869525 4347625 110638361 553191805 2765959025 13829795125