Search a number
-
+
120581962920 = 233252337339043
BaseRepresentation
bin111000001001100111…
…1101011110010101000
3102112020120020101112200
41300103033223302220
53433422440303140
6131221121540200
711466063526206
oct1602317536250
9375216211480
10120581962920
1147158413511
121b4527a4660
13b4a8939123
145b9c756076
15320b10e030
hex1c133ebca8

120581962920 has 192 divisors, whose sum is σ = 410036964480. Its totient is φ = 30673893888.

The previous prime is 120581962901. The next prime is 120581962933. The reversal of 120581962920 is 29269185021.

It is a happy number.

120581962920 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 8 + 19 + 629 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3068919 + ... + 3107961.

It is an arithmetic number, because the mean of its divisors is an integer number (2135609190).

Almost surely, 2120581962920 is an apocalyptic number.

120581962920 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 120581962920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205018482240).

120581962920 is an abundant number, since it is smaller than the sum of its proper divisors (289455001560).

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

120581962920 is a wasteful number, since it uses less digits than its factorization.

120581962920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39456 (or 39449 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 120581962920 in words is "one hundred twenty billion, five hundred eighty-one million, nine hundred sixty-two thousand, nine hundred twenty".