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290001100092 = 2231114914744819
BaseRepresentation
bin1000011100001010110…
…10011001110100111100
31000201112200020021122220
410032011122121310330
514222410240200332
6341120310005340
726644332451554
oct4160532316474
91021480207586
10290001100092
11101a97073860
1248254946850
13214684380a2
14100711c8164
15782496bd2c
hex4385699d3c

290001100092 has 48 divisors (see below), whose sum is σ = 743138928000. Its totient is φ = 87289322560.

The previous prime is 290001100061. The next prime is 290001100117.

290001100092 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 7352742 + ... + 7392077.

It is an arithmetic number, because the mean of its divisors is an integer number (15482061000).

Almost surely, 2290001100092 is an apocalyptic number.

290001100092 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

290001100092 is an abundant number, since it is smaller than the sum of its proper divisors (453137827908).

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

290001100092 is a wasteful number, since it uses less digits than its factorization.

290001100092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14744986 (or 14744984 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

It can be divided in two parts, 290001 and 100092, that added together give a palindrome (390093).

The spelling of 290001100092 in words is "two hundred ninety billion, one million, one hundred thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 9834 19668 14744819 29489638 44234457 58979276 88468914 162193009 176937828 324386018 486579027 648772036 973158054 1946316108 2196978031 4393956062 6590934093 8787912124 13181868186 24166758341 26363736372 48333516682 72500275023 96667033364 145000550046 290001100092