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23127690240 = 21035529641
BaseRepresentation
bin10101100010100001…
…001000110000000000
32012200210211101200000
4111202201020300000
5334331142041430
614342534400000
71446061060224
oct254241106000
965623741600
1023127690240
119898a83a96
124595500000
132247679515
14119584a784
15905633e60
hex562848c00

23127690240 has 528 divisors, whose sum is σ = 86104680480. Its totient is φ = 5945425920.

The previous prime is 23127690217. The next prime is 23127690277. The reversal of 23127690240 is 4209672132.

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 = 23127690195 and 23127690204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36080320 + ... + 36080960.

Almost surely, 223127690240 is an apocalyptic number.

23127690240 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 23127690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43052340240).

23127690240 is an abundant number, since it is smaller than the sum of its proper divisors (62976990240).

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

23127690240 is an equidigital number, since it uses as much as digits as its factorization.

23127690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 23127690240 in words is "twenty-three billion, one hundred twenty-seven million, six hundred ninety thousand, two hundred forty".