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23127428759040 = 29345472373037
BaseRepresentation
bin1010100001000110001100…
…01011001111111000000000
310000212221221021102110020000
411100203012023033320000
511012404433230242130
6121104332154120000
74604621146612014
oct520430613177000
9100787837373200
1023127428759040
117407318670511
122716301120000
13cb9ba40a46b8
1459d532d46544
152a18e683e260
hex1508c62cfe00

23127428759040 has 400 divisors, whose sum is σ = 84597627673152. Its totient is φ = 6036092338176.

The previous prime is 23127428759003. The next prime is 23127428759053. The reversal of 23127428759040 is 4095782472132.

23127428759040 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 7 + 4 + 2 + 8 + 7 + 590 + 40 = 666.

23127428759040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×231274287590402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8559402 + ... + 10932438.

Almost surely, 223127428759040 is an apocalyptic number.

23127428759040 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 23127428759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42298813836576).

23127428759040 is an abundant number, since it is smaller than the sum of its proper divisors (61470198914112).

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

23127428759040 is an equidigital number, since it uses as much as digits as its factorization.

23127428759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373119 (or 2373094 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 23127428759040 in words is "twenty-three trillion, one hundred twenty-seven billion, four hundred twenty-eight million, seven hundred fifty-nine thousand, forty".