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23942140560 = 243251337257269
BaseRepresentation
bin10110010011000100…
…000001001010010000
32021210120100202110200
4112103010001022100
5343013141444220
614555431055200
71505210560032
oct262304011220
967716322420
1023942140560
11a176794628
124782211500
13234731b7a0
141231a97c52
15951db2890
hex593101290

23942140560 has 480 divisors, whose sum is σ = 89608952160. Its totient is φ = 5690621952.

The previous prime is 23942140529. The next prime is 23942140577. The reversal of 23942140560 is 6504124932.

It is a happy number.

23942140560 is a `hidden beast` number, since 2 + 3 + 94 + 2 + 1 + 4 + 0 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3036450816 + 20905689744 = 55104^2 + 144588^2 .

It is a super-2 number, since 2×239421405602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89004106 + ... + 89004374.

It is an arithmetic number, because the mean of its divisors is an integer number (186685317).

Almost surely, 223942140560 is an apocalyptic number.

23942140560 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 23942140560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44804476080).

23942140560 is an abundant number, since it is smaller than the sum of its proper divisors (65666811600).

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

23942140560 is a wasteful number, since it uses less digits than its factorization.

23942140560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23942140560 in words is "twenty-three billion, nine hundred forty-two million, one hundred forty thousand, five hundred sixty".