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999429331680 = 25325131131732731
BaseRepresentation
bin11101000101100101010…
…00010101101011100000
310112112200221121110201100
432202302220111223200
5112333312402103210
62043044223034400
7132130535103003
oct16426250255340
93475627543640
10999429331680
1135594589138a
12141842a3ba00
1373326c9c990
143653073753a
151aee65de5c0
hexe8b2a15ae0

999429331680 has 576 divisors, whose sum is σ = 3728189529792. Its totient is φ = 242338037760.

The previous prime is 999429331657. The next prime is 999429331709. The reversal of 999429331680 is 86133924999.

999429331680 is a `hidden beast` number, since 9 + 99 + 429 + 33 + 16 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365955915 + ... + 365958645.

It is an arithmetic number, because the mean of its divisors is an integer number (6472551267).

Almost surely, 2999429331680 is an apocalyptic number.

999429331680 is a gapful number since it is divisible by the number (90) 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 999429331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864094764896).

999429331680 is an abundant number, since it is smaller than the sum of its proper divisors (2728760198112).

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

999429331680 is a wasteful number, since it uses less digits than its factorization.

999429331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 999429331680 in words is "nine hundred ninety-nine billion, four hundred twenty-nine million, three hundred thirty-one thousand, six hundred eighty".