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10992942432 = 253343449659
BaseRepresentation
bin10100011110011101…
…01111110101100000
31001101010011100002000
422033032233311200
5140003143124212
65014452524000
7536262316563
oct121716576540
931333140060
1010992942432
11473125839a
122169620600
131062626184
14763d944da
154451481dc
hex28f3afd60

10992942432 has 192 divisors, whose sum is σ = 32931360000. Its totient is φ = 3565707264.

The previous prime is 10992942403. The next prime is 10992942451. The reversal of 10992942432 is 23424929901.

10992942432 is a `hidden beast` number, since 109 + 92 + 9 + 424 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16680919 + ... + 16681577.

It is an arithmetic number, because the mean of its divisors is an integer number (171517500).

Almost surely, 210992942432 is an apocalyptic number.

10992942432 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 10992942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680000).

10992942432 is an abundant number, since it is smaller than the sum of its proper divisors (21938417568).

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

10992942432 is a wasteful number, since it uses less digits than its factorization.

10992942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10992942432 in words is "ten billion, nine hundred ninety-two million, nine hundred forty-two thousand, four hundred thirty-two".