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10992402432 = 2143511251
BaseRepresentation
bin10100011110011001…
…01100000000000000
31001101002010220100000
422033030230000000
5140003023334212
65014433200000
7536254610334
oct121714540000
931332126300
1010992402432
114730a19710
122169400000
13106249744b
14763c937c4
1544508d1dc
hex28f32c000

10992402432 has 360 divisors, whose sum is σ = 36067816512. Its totient is φ = 3317760000.

The previous prime is 10992402427. The next prime is 10992402451. The reversal of 10992402432 is 23420429901.

It is a super-2 number, since 2×109924024322 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43794307 + ... + 43794557.

Almost surely, 210992402432 is an apocalyptic number.

10992402432 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 10992402432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18033908256).

10992402432 is an abundant number, since it is smaller than the sum of its proper divisors (25075414080).

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

10992402432 is an frugal number, since it uses more digits than its factorization.

10992402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10992402432 in words is "ten billion, nine hundred ninety-two million, four hundred two thousand, four hundred thirty-two".