Search a number
-
+
150031406556 = 223237311173027
BaseRepresentation
bin1000101110111010010…
…0011001010111011100
3112100020221120010120100
42023232210121113130
54424231020002211
6152531245421100
713560626625363
oct2135644312734
9470227503510
10150031406556
115869a8aa389
12250b126a790
13111bcc27715
147393a087da
153d81735156
hex22ee9195dc

150031406556 has 36 divisors (see below), whose sum is σ = 380262834952. Its totient is φ = 49876388064.

The previous prime is 150031406537. The next prime is 150031406563. The reversal of 150031406556 is 655604130051.

150031406556 is a `hidden beast` number, since 1 + 500 + 3 + 1 + 40 + 65 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1500314065562 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150031406556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5573086 + ... + 5599941.

Almost surely, 2150031406556 is an apocalyptic number.

It is an amenable number.

150031406556 is an abundant number, since it is smaller than the sum of its proper divisors (230231428396).

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

150031406556 is a wasteful number, since it uses less digits than its factorization.

150031406556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11173410 (or 11173405 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 150031406556 in words is "one hundred fifty billion, thirty-one million, four hundred six thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 13428 11173027 22346054 33519081 44692108 67038162 100557243 134076324 201114486 402228972 4167539071 8335078142 12502617213 16670156284 25005234426 37507851639 50010468852 75015703278 150031406556