Search a number
-
+
117425848960 = 2757171924271
BaseRepresentation
bin110110101011100100…
…0000100001010000000
3102020002121110012010001
41231113020010022000
53410442004131320
6125540015245344
711324631150610
oct1552710041200
9366077405101
10117425848960
1145888915372
121a911819854
13b0c4ac4b84
14597d512a40
1530c3ece20a
hex1b57204280

117425848960 has 384 divisors, whose sum is σ = 358599882240. Its totient is φ = 35889315840.

The previous prime is 117425848877. The next prime is 117425848999. The reversal of 117425848960 is 69848524711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27491625 + ... + 27495895.

It is an arithmetic number, because the mean of its divisors is an integer number (933853860).

Almost surely, 2117425848960 is an apocalyptic number.

117425848960 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 117425848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179299941120).

117425848960 is an abundant number, since it is smaller than the sum of its proper divisors (241174033280).

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

117425848960 is a wasteful number, since it uses less digits than its factorization.

117425848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 117425848960 in words is "one hundred seventeen billion, four hundred twenty-five million, eight hundred forty-eight thousand, nine hundred sixty".