Search a number
-
+
150266479968 = 25351117234493
BaseRepresentation
bin1000101111110010010…
…1001000010101100000
3112100212022220002200000
42023330211020111200
54430221204324333
6153010444100000
713566513001533
oct2137445102540
9470768802600
10150266479968
1158800568530
1225157b34600
1311229842007
1473b6d1aa1a
153d971bb713
hex22fc948560

150266479968 has 576 divisors, whose sum is σ = 534244419072. Its totient is φ = 40984289280.

The previous prime is 150266479967. The next prime is 150266479999. The reversal of 150266479968 is 869974662051.

150266479968 is a `hidden beast` number, since 1 + 50 + 26 + 6 + 479 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150266479967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33442330 + ... + 33446822.

It is an arithmetic number, because the mean of its divisors is an integer number (927507672).

Almost surely, 2150266479968 is an apocalyptic number.

150266479968 is a gapful number since it is divisible by the number (18) 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 150266479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267122209536).

150266479968 is an abundant number, since it is smaller than the sum of its proper divisors (383977939104).

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

150266479968 is a wasteful number, since it uses less digits than its factorization.

150266479968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4569 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 150266479968 in words is "one hundred fifty billion, two hundred sixty-six million, four hundred seventy-nine thousand, nine hundred sixty-eight".