Search a number
-
+
120190715736 = 2337131923912119
BaseRepresentation
bin110111111101111101…
…1001100011101011000
3102111020022000222022020
41233323323030131120
53432122310400421
6131114224054440
711453303140650
oct1577373143530
9374208028266
10120190715736
1146a77586733
121b363764420
13b445870810
145b627cd360
1531d6ac8dc6
hex1bfbecc758

120190715736 has 256 divisors, whose sum is σ = 390942720000. Its totient is φ = 29902182912.

The previous prime is 120190715681. The next prime is 120190715741. The reversal of 120190715736 is 637517091021.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 9911485 + ... + 9923603.

It is an arithmetic number, because the mean of its divisors is an integer number (1527120000).

Almost surely, 2120190715736 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 120190715736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195471360000).

120190715736 is an abundant number, since it is smaller than the sum of its proper divisors (270752004264).

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

120190715736 is a wasteful number, since it uses less digits than its factorization.

120190715736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12406 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 120190715736 in words is "one hundred twenty billion, one hundred ninety million, seven hundred fifteen thousand, seven hundred thirty-six".