Search a number
-
+
151936983792 = 24341126714461
BaseRepresentation
bin1000110110000000100…
…1100110001011110000
3112112011202020111010000
42031200021212023300
54442131331440132
6153444320510000
713656066024216
oct2154011461360
9475152214100
10151936983792
1159488514800
122554347b300
1311434961a09
1474d4b24cb6
153e43b9587c
hex23602662f0

151936983792 has 300 divisors, whose sum is σ = 490609524328. Its totient is φ = 45351187200.

The previous prime is 151936983787. The next prime is 151936983799. The reversal of 151936983792 is 297389639151.

151936983792 is a `hidden beast` number, since 1 + 519 + 36 + 9 + 83 + 7 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151936983799) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10499442 + ... + 10513902.

Almost surely, 2151936983792 is an apocalyptic number.

151936983792 is a gapful number since it is divisible by the number (12) 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 151936983792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245304762164).

151936983792 is an abundant number, since it is smaller than the sum of its proper divisors (338672540536).

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

151936983792 is a wasteful number, since it uses less digits than its factorization.

151936983792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570 (or 14544 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 151936983792 in words is "one hundred fifty-one billion, nine hundred thirty-six million, nine hundred eighty-three thousand, seven hundred ninety-two".