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23103606240 = 253351113149251
BaseRepresentation
bin10101100001000101…
…010000110111100000
32012122010111210122000
4111201011100313200
5334304010344430
614340314244000
71445346261411
oct254105206740
965563453560
1023103606240
119886424360
124589426600
132242696230
14119257b808
15903477e60
hex561150de0

23103606240 has 768 divisors, whose sum is σ = 96018048000. Its totient is φ = 5114880000.

The previous prime is 23103606221. The next prime is 23103606241. The reversal of 23103606240 is 4260630132.

23103606240 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 36 + 0 + 624 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23103606241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92046115 + ... + 92046365.

It is an arithmetic number, because the mean of its divisors is an integer number (125023500).

Almost surely, 223103606240 is an apocalyptic number.

23103606240 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 23103606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024000).

23103606240 is an abundant number, since it is smaller than the sum of its proper divisors (72914441760).

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

23103606240 is a wasteful number, since it uses less digits than its factorization.

23103606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 23103606240 in words is "twenty-three billion, one hundred three million, six hundred six thousand, two hundred forty".