Search a number
-
+
112797410880 = 26357116012539
BaseRepresentation
bin110100100001100111…
…1111110011001000000
3101210011001020011200110
41221003033332121000
53322002114122010
6123452435551320
711102140113210
oct1510317763100
9353131204613
10112797410880
114392321a330
1219a3b75b540
13a837c2b80b
145660932240
152e029c0120
hex1a433fe640

112797410880 has 448 divisors, whose sum is σ = 447421040640. Its totient is φ = 23390208000.

The previous prime is 112797410837. The next prime is 112797410939. The reversal of 112797410880 is 88014797211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 44424651 + ... + 44427189.

It is an arithmetic number, because the mean of its divisors is an integer number (998707680).

Almost surely, 2112797410880 is an apocalyptic number.

112797410880 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 112797410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223710520320).

112797410880 is an abundant number, since it is smaller than the sum of its proper divisors (334623629760).

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

112797410880 is a wasteful number, since it uses less digits than its factorization.

112797410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The spelling of 112797410880 in words is "one hundred twelve billion, seven hundred ninety-seven million, four hundred ten thousand, eight hundred eighty".