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12447640480 = 255112361712
BaseRepresentation
bin10111001011110111…
…11110101110100000
31012010111102122122111
423211323332232200
5200443043443410
65415100045104
7620315125012
oct134573765640
935114378574
1012447640480
115308406590
1224b4833794
131234b16552
148612641b2
154ccbe4b8a
hex2e5efeba0

12447640480 has 288 divisors, whose sum is σ = 34510541184. Its totient is φ = 4198656000.

The previous prime is 12447640453. The next prime is 12447640501. The reversal of 12447640480 is 8404674421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175318845 + ... + 175318915.

It is an arithmetic number, because the mean of its divisors is an integer number (119828268).

Almost surely, 212447640480 is an apocalyptic number.

12447640480 is a gapful number since it is divisible by the number (10) 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 12447640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17255270592).

12447640480 is an abundant number, since it is smaller than the sum of its proper divisors (22062900704).

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

12447640480 is a wasteful number, since it uses less digits than its factorization.

12447640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 12447640480 in words is "twelve billion, four hundred forty-seven million, six hundred forty thousand, four hundred eighty".