Search a number
-
+
23155555555132 = 22731113265313903
BaseRepresentation
bin1010100001111010100101…
…01010011101011100111100
310000222122112110221201220121
411100331102222131130330
511013340034210231012
6121125303153024324
74606635152464000
oct520752252353474
9100878473851817
1023155555555132
1174182414a0740
12271b8508550a4
13cbc737358800
145a0a406a0700
152a24e0c9ea07
hex150f52a9d73c

23155555555132 has 288 divisors, whose sum is σ = 55912366540800. Its totient is φ = 8314321317120.

The previous prime is 23155555555127. The next prime is 23155555555147.

23155555555132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 23155555555132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1665500893 + ... + 1665514795.

It is an arithmetic number, because the mean of its divisors is an integer number (194140161600).

Almost surely, 223155555555132 is an apocalyptic number.

23155555555132 is a gapful number since it is divisible by the number (22) 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 23155555555132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27956183270400).

23155555555132 is an abundant number, since it is smaller than the sum of its proper divisors (32756810985668).

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

23155555555132 is a wasteful number, since it uses less digits than its factorization.

23155555555132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14618 (or 14589 counting only the distinct ones).

The product of its digits is 14062500, while the sum is 52.

The spelling of 23155555555132 in words is "twenty-three trillion, one hundred fifty-five billion, five hundred fifty-five million, five hundred fifty-five thousand, one hundred thirty-two".