Search a number
-
+
158012131795056 = 2432711231343487
BaseRepresentation
bin100011111011011000010000…
…111111000110000001110000
3202201110210221010222020110200
4203323120100333012001300
5131202332321214420211
61320021434330355200
745165666633264540
oct4373302077060160
9681423833866420
10158012131795056
1146390629037700
121587b98728bb00
136a226319bb416
142b03b83dc3320
1513403d149ab56
hex8fb610fc6070

158012131795056 has 720 divisors, whose sum is σ = 574038683172864. Its totient is φ = 39717259718400.

The previous prime is 158012131795027. The next prime is 158012131795069. The reversal of 158012131795056 is 650597131210851.

158012131795056 is a `hidden beast` number, since 1 + 5 + 8 + 0 + 121 + 3 + 1 + 7 + 9 + 505 + 6 = 666.

It is a super-3 number, since 3×1580121317950563 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 158012131794993 and 158012131795011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3633526945 + ... + 3633570431.

Almost surely, 2158012131795056 is an apocalyptic number.

158012131795056 is a gapful number since it is divisible by the number (16) 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 158012131795056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287019341586432).

158012131795056 is an abundant number, since it is smaller than the sum of its proper divisors (416026551377808).

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

158012131795056 is a wasteful number, since it uses less digits than its factorization.

158012131795056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43623 (or 43541 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 158012131795056 in words is "one hundred fifty-eight trillion, twelve billion, one hundred thirty-one million, seven hundred ninety-five thousand, fifty-six".