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23309500032 = 2733713137541
BaseRepresentation
bin10101101101010110…
…101011111010000000
32020011110221021211000
4111231112223322000
5340214213000112
614412551252000
71453426324020
oct255526537200
966143837730
1023309500032
119981672415
12462637a000
132276235090
1411b1a55a80
159165987dc
hex56d5abe80

23309500032 has 512 divisors, whose sum is σ = 85446950400. Its totient is φ = 6091407360.

The previous prime is 23309499979. The next prime is 23309500033. The reversal of 23309500032 is 23000590332.

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 = 23309499969 and 23309500005.

It is not an unprimeable number, because it can be changed into a prime (23309500033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43085682 + ... + 43086222.

It is an arithmetic number, because the mean of its divisors is an integer number (166888575).

Almost surely, 223309500032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23309500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42723475200).

23309500032 is an abundant number, since it is smaller than the sum of its proper divisors (62137450368).

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

23309500032 is a wasteful number, since it uses less digits than its factorization.

23309500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The spelling of 23309500032 in words is "twenty-three billion, three hundred nine million, five hundred thousand, thirty-two".