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10142090992 = 241171811627
BaseRepresentation
bin10010111001000010…
…00000011011110000
3222011211010121022201
421130201000123300
5131232333402432
64354220112544
7506221231255
oct113441003360
928154117281
1010142090992
114334a45090
121b70695754
13c5827a497
146c2d8d42c
153e55c8ee7
hex25c8406f0

10142090992 has 40 divisors (see below), whose sum is σ = 21738644352. Its totient is φ = 4545105600.

The previous prime is 10142090963. The next prime is 10142091059. The reversal of 10142090992 is 29909024101.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 393318 + ... + 418309.

Almost surely, 210142090992 is an apocalyptic number.

It is an amenable number.

10142090992 is an abundant number, since it is smaller than the sum of its proper divisors (11596553360).

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

10142090992 is a wasteful number, since it uses less digits than its factorization.

10142090992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811717 (or 811711 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 10142090992 in words is "ten billion, one hundred forty-two million, ninety thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1136 1562 3124 6248 12496 811627 1623254 3246508 6493016 8927897 12986032 17855794 35711588 57625517 71423176 115251034 142846352 230502068 461004136 633880687 922008272 1267761374 2535522748 5071045496 10142090992