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20374960320 = 26345111323239
BaseRepresentation
bin10010111110011100…
…010011100011000000
31221120222002020010000
4102332130103203000
5313211442212240
613205442040000
71320624206451
oct227634234300
957528066100
1020374960320
118706152290
123b47649000
131bc928cc50
14db400d128
157e3b35430
hex4be7138c0

20374960320 has 1120 divisors, whose sum is σ = 89222031360. Its totient is φ = 4342947840.

The previous prime is 20374960313. The next prime is 20374960321. The reversal of 20374960320 is 2306947302.

It is a happy number.

20374960320 is a `hidden beast` number, since 2 + 0 + 3 + 7 + 49 + 603 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20374960321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85250761 + ... + 85250999.

It is an arithmetic number, because the mean of its divisors is an integer number (79662528).

Almost surely, 220374960320 is an apocalyptic number.

20374960320 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 20374960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44611015680).

20374960320 is an abundant number, since it is smaller than the sum of its proper divisors (68847071040).

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

20374960320 is a wasteful number, since it uses less digits than its factorization.

20374960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 20374960320 in words is "twenty billion, three hundred seventy-four million, nine hundred sixty thousand, three hundred twenty".