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23727071424 = 2637611671733
BaseRepresentation
bin10110000110001111…
…100110000011000000
32021020120200010002010
4112012033212003000
5342043112241144
614522225252520
71466656531230
oct260617460300
967216603063
1023727071424
11a076349a41
124722194140
1323118b9544
1412112b1cc0
1593d07d5b9
hex5863e60c0

23727071424 has 224 divisors, whose sum is σ = 73401302016. Its totient is φ = 6624276480.

The previous prime is 23727071413. The next prime is 23727071443. The reversal of 23727071424 is 42417072732.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13690462 + ... + 13692194.

It is an arithmetic number, because the mean of its divisors is an integer number (327684384).

Almost surely, 223727071424 is an apocalyptic number.

23727071424 is a gapful number since it is divisible by the number (24) 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 23727071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36700651008).

23727071424 is an abundant number, since it is smaller than the sum of its proper divisors (49674230592).

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

23727071424 is a wasteful number, since it uses less digits than its factorization.

23727071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 23727071424 in words is "twenty-three billion, seven hundred twenty-seven million, seventy-one thousand, four hundred twenty-four".