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16131298260 = 223571131163691
BaseRepresentation
bin11110000011000000…
…00001001111010100
31112122012212212011010
433001200001033110
5231014103021020
611224405412220
71110514526040
oct170140011724
945565785133
1016131298260
116928774160
12316240a070
1316a10378cc
14ad058d020
156462cdde0
hex3c18013d4

16131298260 has 384 divisors, whose sum is σ = 58570702848. Its totient is φ = 3219264000.

The previous prime is 16131298247. The next prime is 16131298273. The reversal of 16131298260 is 6289213161.

It is an interprime number because it is at equal distance from previous prime (16131298247) and next prime (16131298273).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23344515 + ... + 23345205.

It is an arithmetic number, because the mean of its divisors is an integer number (152527872).

Almost surely, 216131298260 is an apocalyptic number.

16131298260 is a gapful number since it is divisible by the number (10) 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 16131298260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29285351424).

16131298260 is an abundant number, since it is smaller than the sum of its proper divisors (42439404588).

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

16131298260 is a wasteful number, since it uses less digits than its factorization.

16131298260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 16131298260 in words is "sixteen billion, one hundred thirty-one million, two hundred ninety-eight thousand, two hundred sixty".