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23092449732 = 22341121734649
BaseRepresentation
bin10101100000011010…
…101101000111000100
32012121100111222210000
4111200122231013010
5334243131342412
614335235201300
71445152404222
oct254032550704
965540458700
1023092449732
1198800a4300
124585746230
13224028b151
141190cb5b12
159024c24dc
hex5606ad1c4

23092449732 has 180 divisors, whose sum is σ = 70260428700. Its totient is φ = 6585891840.

The previous prime is 23092449697. The next prime is 23092449761. The reversal of 23092449732 is 23794429032.

It can be written as a sum of positive squares in 2 ways, for example, as 10929447936 + 12163001796 = 104544^2 + 110286^2 .

It is a super-2 number, since 2×230924497322 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 649144 + ... + 683792.

It is an arithmetic number, because the mean of its divisors is an integer number (390335715).

Almost surely, 223092449732 is an apocalyptic number.

23092449732 is a gapful number since it is divisible by the number (22) 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 23092449732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35130214350).

23092449732 is an abundant number, since it is smaller than the sum of its proper divisors (47167978968).

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

23092449732 is a wasteful number, since it uses less digits than its factorization.

23092449732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34704 (or 34682 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23092449732 in words is "twenty-three billion, ninety-two million, four hundred forty-nine thousand, seven hundred thirty-two".