Search a number
-
+
155685568888080 = 2433572111015913163
BaseRepresentation
bin100011011001100001011111…
…000001111011110100010000
3202102020101122222101212122000
4203121201133001323310100
5130401223021113404310
61311040544001114000
744535624350002500
oct4331413701736420
9672211588355560
10155685568888080
1145673973a17440
1215564aa6028900
1368b411737581a
142a6331664ba00
1512eeb13d184c0
hex8d985f07bd10

155685568888080 has 960 divisors, whose sum is σ = 680629265510400. Its totient is φ = 32344606264320.

The previous prime is 155685568888079. The next prime is 155685568888093. The reversal of 155685568888080 is 80888865586551.

155685568888080 is a `hidden beast` number, since 1 + 5 + 56 + 8 + 556 + 8 + 8 + 8 + 8 + 0 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11827507579 + ... + 11827520741.

It is an arithmetic number, because the mean of its divisors is an integer number (708988818240).

Almost surely, 2155685568888080 is an apocalyptic number.

155685568888080 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 155685568888080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340314632755200).

155685568888080 is an abundant number, since it is smaller than the sum of its proper divisors (524943696622320).

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

155685568888080 is a wasteful number, since it uses less digits than its factorization.

155685568888080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23369 (or 23350 counting only the distinct ones).

The product of its (nonzero) digits is 5898240000, while the sum is 81.

The spelling of 155685568888080 in words is "one hundred fifty-five trillion, six hundred eighty-five billion, five hundred sixty-eight million, eight hundred eighty-eight thousand, eighty".