Search a number
-
+
150783396480 = 2733529392969
BaseRepresentation
bin1000110001101101100…
…1000000101010000000
3112102012100120011211000
42030123121000222000
54432301022141410
6153134031252000
713615360503003
oct2143331005200
9472170504730
10150783396480
1158a46329562
122528107a000
13112ac96ab82
14742583753a
153dc7776dc0
hex231b640a80

150783396480 has 256 divisors, whose sum is σ = 534386160000. Its totient is φ = 40181686272.

The previous prime is 150783396479. The next prime is 150783396493. The reversal of 150783396480 is 84693387051.

150783396480 is a `hidden beast` number, since 1 + 5 + 0 + 78 + 3 + 3 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50784436 + ... + 50787404.

Almost surely, 2150783396480 is an apocalyptic number.

150783396480 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 150783396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267193080000).

150783396480 is an abundant number, since it is smaller than the sum of its proper divisors (383602763520).

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

150783396480 is a wasteful number, since it uses less digits than its factorization.

150783396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 150783396480 in words is "one hundred fifty billion, seven hundred eighty-three million, three hundred ninety-six thousand, four hundred eighty".