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23650079040 = 26325717151457
BaseRepresentation
bin10110000001101001…
…111001000101000000
32021001012210111101100
4112001221321011000
5341413410012130
614510435134400
71465033232520
oct260151710500
967035714340
1023650079040
11a036942475
124700444400
1322cb970113
141204d8d680
15936420c60
hex581a79140

23650079040 has 672 divisors, whose sum is σ = 99304717824. Its totient is φ = 5042995200.

The previous prime is 23650079029. The next prime is 23650079051. The reversal of 23650079040 is 4097005632.

23650079040 is a `hidden beast` number, since 23 + 6 + 500 + 7 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (23650079029) and next prime (23650079051).

It is a tau number, because it is divible by the number of its divisors (672).

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 = 23650078986 and 23650079004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51750492 + ... + 51750948.

Almost surely, 223650079040 is an apocalyptic number.

23650079040 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 23650079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49652358912).

23650079040 is an abundant number, since it is smaller than the sum of its proper divisors (75654638784).

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

23650079040 is a wasteful number, since it uses less digits than its factorization.

23650079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 23650079040 in words is "twenty-three billion, six hundred fifty million, seventy-nine thousand, forty".