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18431400960 = 21034572907
BaseRepresentation
bin10001001010100110…
…001101110000000000
31202120111221011220000
4101022212031300000
5300221414312320
612244532520000
71221514215600
oct211246156000
952514834800
1018431400960
1178a9055385
1236a4780000
13197971771b
14c6bc46c00
1572d1c0c90
hex44a98dc00

18431400960 has 660 divisors, whose sum is σ = 76915730232. Its totient is φ = 4208246784.

The previous prime is 18431400929. The next prime is 18431400983. The reversal of 18431400960 is 6900413481.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20320827 + ... + 20321733.

Almost surely, 218431400960 is an apocalyptic number.

18431400960 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 18431400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38457865116).

18431400960 is an abundant number, since it is smaller than the sum of its proper divisors (58484329272).

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

18431400960 is an equidigital number, since it uses as much as digits as its factorization.

18431400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 18431400960 in words is "eighteen billion, four hundred thirty-one million, four hundred thousand, nine hundred sixty".