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23264465140 = 225747109163199
BaseRepresentation
bin10101101010101010…
…111001000011110100
32020001100012021120001
4111222222321003310
5340121200341030
614404302121044
71452341455660
oct255252710364
966040167501
1023264465140
119959202aa4
124613280184
132269ac7907
1411a9a918a0
1591264ecca
hex56aab90f4

23264465140 has 192 divisors, whose sum is σ = 58189824000. Its totient is φ = 7648971264.

The previous prime is 23264465129. The next prime is 23264465183. The reversal of 23264465140 is 4156446232.

It is a self number, because there is not a number n which added to its sum of digits gives 23264465140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116906761 + ... + 116906959.

It is an arithmetic number, because the mean of its divisors is an integer number (303072000).

Almost surely, 223264465140 is an apocalyptic number.

23264465140 is a gapful number since it is divisible by the number (20) 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 23264465140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29094912000).

23264465140 is an abundant number, since it is smaller than the sum of its proper divisors (34925358860).

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

23264465140 is a wasteful number, since it uses less digits than its factorization.

23264465140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 23264465140 in words is "twenty-three billion, two hundred sixty-four million, four hundred sixty-five thousand, one hundred forty".