Search a number
-
+
117928332480 = 263574329491
BaseRepresentation
bin110110111010100010…
…0111000110011000000
3102021101121221222220210
41231311010320303000
53413004123114410
6130101525234120
711343242200260
oct1556504706300
9367347858823
10117928332480
1146016518702
121aa31b62940
13b174c394ba
1459ca1537a0
153103188220
hex1b75138cc0

117928332480 has 336 divisors, whose sum is σ = 438140392704. Its totient is φ = 26325411840.

The previous prime is 117928332451. The next prime is 117928332493. The reversal of 117928332480 is 84233829711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12420535 + ... + 12430025.

It is an arithmetic number, because the mean of its divisors is an integer number (1303989264).

Almost surely, 2117928332480 is an apocalyptic number.

117928332480 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 117928332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219070196352).

117928332480 is an abundant number, since it is smaller than the sum of its proper divisors (320212060224).

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

117928332480 is an equidigital number, since it uses as much as digits as its factorization.

117928332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9604 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 117928332480 in words is "one hundred seventeen billion, nine hundred twenty-eight million, three hundred thirty-two thousand, four hundred eighty".