Search a number
-
+
150631462080 = 2637511171151
BaseRepresentation
bin1000110001001001010…
…1011011010011000000
3112101210202200010000000
42030102111123103000
54431443123241310
6153111003000000
713611534205401
oct2142225332300
9471722603000
10150631462080
1158978595a40
122523a209000
1311287342668
14740d5a79a8
153db92644c0
hex231255b4c0

150631462080 has 896 divisors, whose sum is σ = 621920747520. Its totient is φ = 34338816000.

The previous prime is 150631462049. The next prime is 150631462103. The reversal of 150631462080 is 80264136051.

It is a happy number.

150631462080 is a `hidden beast` number, since 1 + 506 + 3 + 14 + 62 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130869505 + ... + 130870655.

Almost surely, 2150631462080 is an apocalyptic number.

150631462080 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 150631462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310960373760).

150631462080 is an abundant number, since it is smaller than the sum of its proper divisors (471289285440).

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

150631462080 is a wasteful number, since it uses less digits than its factorization.

150631462080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 150631462080 in words is "one hundred fifty billion, six hundred thirty-one million, four hundred sixty-two thousand, eighty".