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13127371992 = 2332723253929
BaseRepresentation
bin11000011100111001…
…11100110011011000
31020212212110120222200
430032130330303120
5203341101400432
610010341050200
7643210551360
oct141634746330
936785416880
1013127371992
115627071969
1226643b6960
1313128aa247
148c76439a0
1551c711a7c
hex30e73ccd8

13127371992 has 288 divisors, whose sum is σ = 43323789600. Its totient is φ = 3516125184.

The previous prime is 13127371991. The next prime is 13127372051. The reversal of 13127371992 is 29917372131.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13127371991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14130184 + ... + 14131112.

It is an arithmetic number, because the mean of its divisors is an integer number (150429825).

Almost surely, 213127371992 is an apocalyptic number.

13127371992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13127371992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21661894800).

13127371992 is an abundant number, since it is smaller than the sum of its proper divisors (30196417608).

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

13127371992 is a wasteful number, since it uses less digits than its factorization.

13127371992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1017 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The spelling of 13127371992 in words is "thirteen billion, one hundred twenty-seven million, three hundred seventy-one thousand, nine hundred ninety-two".