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23420431172600 = 235271123411612733
BaseRepresentation
bin1010101001100111111100…
…11110110000001111111000
310001220222020010011020221222
411110303332132300033320
511032210020340010400
6121451110400451212
74635033055206620
oct524637636601770
9101828203136858
1023420431172600
11750a604911520
122763053019b08
13100b6ca263ac7
145ad7aa999880
152a9344a0e185
hex154cfe7b03f8

23420431172600 has 384 divisors, whose sum is σ = 72568385326080. Its totient is φ = 6812179968000.

The previous prime is 23420431172599. The next prime is 23420431172609. The reversal of 23420431172600 is 627113402432.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23420431172609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13715834 + ... + 15328566.

It is an arithmetic number, because the mean of its divisors is an integer number (188980170120).

Almost surely, 223420431172600 is an apocalyptic number.

23420431172600 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 23420431172600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36284192663040).

23420431172600 is an abundant number, since it is smaller than the sum of its proper divisors (49147954153480).

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

23420431172600 is a wasteful number, since it uses less digits than its factorization.

23420431172600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612831 (or 1612822 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The spelling of 23420431172600 in words is "twenty-three trillion, four hundred twenty billion, four hundred thirty-one million, one hundred seventy-two thousand, six hundred".