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23958221040 = 243351317311619
BaseRepresentation
bin10110010100000001…
…010111000011110000
32021211200121201202000
4112110001113003300
5343031301033130
615001203454000
71505464342635
oct262401270360
967750551660
1023958221040
11a184878086
124787687300
13234a75bb70
141233c8218c
159534dc260
hex5940570f0

23958221040 has 640 divisors, whose sum is σ = 97193779200. Its totient is φ = 5368135680.

The previous prime is 23958221029. The next prime is 23958221047. The reversal of 23958221040 is 4012285932.

It is a happy number.

23958221040 is a `hidden beast` number, since 2 + 39 + 582 + 2 + 1 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23958220986 and 23958221004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23958221047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14797351 + ... + 14798969.

It is an arithmetic number, because the mean of its divisors is an integer number (151865280).

Almost surely, 223958221040 is an apocalyptic number.

23958221040 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 23958221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48596889600).

23958221040 is an abundant number, since it is smaller than the sum of its proper divisors (73235558160).

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

23958221040 is a wasteful number, since it uses less digits than its factorization.

23958221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 23958221040 in words is "twenty-three billion, nine hundred fifty-eight million, two hundred twenty-one thousand, forty".