Search a number
-
+
121055359464 = 233313371676977
BaseRepresentation
bin111000010111101110…
…1100011000111101000
3102120110120000102112000
41300233131203013220
53440410133000324
6131340112251000
711513602402104
oct1605735430750
9376416012460
10121055359464
114738065a326
121b565240a60
13b552a38220
145c05584904
15323796e9c9
hex1c2f7631e8

121055359464 has 256 divisors, whose sum is σ = 374199436800. Its totient is φ = 36018929664.

The previous prime is 121055359459. The next prime is 121055359543. The reversal of 121055359464 is 464953550121.

It is a happy number.

121055359464 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 5 + 53 + 594 + 6 + 4 = 666.

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, 17347144 + ... + 17354120.

It is an arithmetic number, because the mean of its divisors is an integer number (1461716550).

Almost surely, 2121055359464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121055359464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187099718400).

121055359464 is an abundant number, since it is smaller than the sum of its proper divisors (253144077336).

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

121055359464 is a wasteful number, since it uses less digits than its factorization.

121055359464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7209 (or 7199 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 121055359464 in words is "one hundred twenty-one billion, fifty-five million, three hundred fifty-nine thousand, four hundred sixty-four".