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23480271360 = 293357133733
BaseRepresentation
bin10101110111100010…
…001000001000000000
32020121101021101001000
4111313202020020000
5341041422140420
614441531412000
71460602004430
oct256742101000
966541241030
1023480271360
119a5a001447
1246735b4000
1322a27274c0
1411ca5ca2c0
1592657c690
hex577888200

23480271360 has 640 divisors, whose sum is σ = 102678428160. Its totient is φ = 4952752128.

The previous prime is 23480271319. The next prime is 23480271371. The reversal of 23480271360 is 6317208432.

It is a happy number.

23480271360 is a `hidden beast` number, since 23 + 4 + 8 + 0 + 271 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6288054 + ... + 6291786.

It is an arithmetic number, because the mean of its divisors is an integer number (160435044).

Almost surely, 223480271360 is an apocalyptic number.

23480271360 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 23480271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51339214080).

23480271360 is an abundant number, since it is smaller than the sum of its proper divisors (79198156800).

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

23480271360 is a wasteful number, since it uses less digits than its factorization.

23480271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 23480271360 its reverse (6317208432), we get a palindrome (29797479792).

The spelling of 23480271360 in words is "twenty-three billion, four hundred eighty million, two hundred seventy-one thousand, three hundred sixty".