Search a number
-
+
150347151360 = 21132571713709
BaseRepresentation
bin1000110000000101100…
…0110111100000000000
3112101001221200122000100
42030001120313200000
54430402332320420
6153022445122400
713601512462230
oct2140130674000
9471057618010
10150347151360
11588420580aa
122517ab59400
1311240478b73
1473c3919cc0
153d9e304190
hex2301637800

150347151360 has 576 divisors, whose sum is σ = 630591998400. Its totient is φ = 32341229568.

The previous prime is 150347151359. The next prime is 150347151371. The reversal of 150347151360 is 63151743051.

150347151360 is a `hidden beast` number, since 1 + 50 + 3 + 471 + 5 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10960186 + ... + 10973894.

It is an arithmetic number, because the mean of its divisors is an integer number (1094777775).

Almost surely, 2150347151360 is an apocalyptic number.

150347151360 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 150347151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315295999200).

150347151360 is an abundant number, since it is smaller than the sum of its proper divisors (480244847040).

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

150347151360 is a wasteful number, since it uses less digits than its factorization.

150347151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13766 (or 13743 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 150347151360 in words is "one hundred fifty billion, three hundred forty-seven million, one hundred fifty-one thousand, three hundred sixty".