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13985712192 = 26372842251
BaseRepresentation
bin11010000011001110…
…10000100001000000
31100002200120210101110
431001213100201000
5212120320242232
610231442203320
71003402410054
oct150147204100
940080523343
1013985712192
115a2762a631
122863953540
13141b67875a
14969637c64
1556cc5eacc
hex3419d0840

13985712192 has 28 divisors (see below), whose sum is σ = 37003864016. Its totient is φ = 4661904000.

The previous prime is 13985712179. The next prime is 13985712193. The reversal of 13985712192 is 29121758931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13985712193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36420934 + ... + 36421317.

It is an arithmetic number, because the mean of its divisors is an integer number (1321566572).

Almost surely, 213985712192 is an apocalyptic number.

13985712192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13985712192 is an abundant number, since it is smaller than the sum of its proper divisors (23018151824).

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

13985712192 is an equidigital number, since it uses as much as digits as its factorization.

13985712192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72842266 (or 72842256 counting only the distinct ones).

The product of its digits is 272160, while the sum is 48.

The spelling of 13985712192 in words is "thirteen billion, nine hundred eighty-five million, seven hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 72842251 145684502 218526753 291369004 437053506 582738008 874107012 1165476016 1748214024 2330952032 3496428048 4661904064 6992856096 13985712192