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23315351040 = 29345229491
BaseRepresentation
bin10101101101101101…
…000000011000000000
32020011212221112220000
4111231231000120000
5340222212213130
614413320520000
71453530133242
oct255555003000
966155845800
1023315351040
1199849a9363
124628320000
132277503307
1411b273a092
15916d52260
hex56db40600

23315351040 has 400 divisors, whose sum is σ = 84043705680. Its totient is φ = 6177669120.

The previous prime is 23315351023. The next prime is 23315351047. The reversal of 23315351040 is 4015351332.

23315351040 is a `hidden beast` number, since 23 + 3 + 1 + 535 + 104 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23315350995 and 23315351013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23315351047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 47485195 + ... + 47485685.

Almost surely, 223315351040 is an apocalyptic number.

23315351040 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 23315351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42021852840).

23315351040 is an abundant number, since it is smaller than the sum of its proper divisors (60728354640).

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

23315351040 is an equidigital number, since it uses as much as digits as its factorization.

23315351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 23315351040 in words is "twenty-three billion, three hundred fifteen million, three hundred fifty-one thousand, forty".