Search a number
-
+
117453451248 = 24357171931431
BaseRepresentation
bin110110101100011000…
…1010110111111110000
3102020011112101112100000
41231120301112333300
53411021040414443
6125542443030000
711325414602010
oct1553061267760
9366145345300
10117453451248
11458a2458381
121a91ab0b300
13b0ca73a6a3
145983059c40
1530c66328d3
hex1b58c56ff0

117453451248 has 960 divisors, whose sum is σ = 449251246080. Its totient is φ = 28889395200.

The previous prime is 117453451169. The next prime is 117453451289. The reversal of 117453451248 is 842154354711.

117453451248 is a `hidden beast` number, since 1 + 1 + 74 + 534 + 5 + 1 + 2 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272513593 + ... + 272514023.

It is an arithmetic number, because the mean of its divisors is an integer number (467970048).

Almost surely, 2117453451248 is an apocalyptic number.

117453451248 is a gapful number since it is divisible by the number (18) 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 117453451248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224625623040).

117453451248 is an abundant number, since it is smaller than the sum of its proper divisors (331797794832).

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

117453451248 is a wasteful number, since it uses less digits than its factorization.

117453451248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 117453451248 in words is "one hundred seventeen billion, four hundred fifty-three million, four hundred fifty-one thousand, two hundred forty-eight".