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290207442896 = 24731775310781
BaseRepresentation
bin1000011100100011011…
…01100010011111010000
31000202002001111120202222
410032101231202133100
514223321101133041
6341153000400212
726652416364230
oct4162155423720
91022061446688
10290207442896
111020925991a8
12482b1a76068
132149c103417
141009077bcc0
157837b2a74b
hex4391b627d0

290207442896 has 80 divisors (see below), whose sum is σ = 663478391808. Its totient is φ = 120335846400.

The previous prime is 290207442893. The next prime is 290207442913. The reversal of 290207442896 is 698244702092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290207442893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26913026 + ... + 26923806.

Almost surely, 2290207442896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290207442896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331739195904).

290207442896 is an abundant number, since it is smaller than the sum of its proper divisors (373270948912).

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

290207442896 is a wasteful number, since it uses less digits than its factorization.

290207442896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18580 (or 18574 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 290207442896 in words is "two hundred ninety billion, two hundred seven million, four hundred forty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 7753 10781 15506 21562 31012 43124 54271 62024 75467 86248 108542 124048 150934 172496 217084 240343 301868 334211 434168 480686 603736 668422 868336 961372 1207472 1336844 1682401 1922744 2339477 2673688 3364802 3845488 4678954 5347376 6729604 9357908 13459208 18715816 26918416 37431632 83585093 167170186 334340372 585095651 668680744 1170191302 1337361488 2340382604 2591137883 4680765208 5182275766 9361530416 10364551532 18137965181 20729103064 36275930362 41458206128 72551860724 145103721448 290207442896