Search a number
-
+
155125974528 = 293107733
BaseRepresentation
bin1001000001111000111…
…0101000011000000000
3112211101222220000000000
42100132032220120000
510020144222141103
6155133000000000
714131111012260
oct2203616503000
9484358800000
10155125974528
115a874628738
1226093460000
1311822547495
1477184857a0
15407db1baa3
hex241e3a8600

155125974528 has 440 divisors, whose sum is σ = 532062971088. Its totient is φ = 44261240832.

The previous prime is 155125974469. The next prime is 155125974571. The reversal of 155125974528 is 825479521551.

It is a happy number.

155125974528 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 2 + 597 + 45 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 211631250 + ... + 211631982.

Almost surely, 2155125974528 is an apocalyptic number.

155125974528 is a gapful number since it is divisible by the number (18) 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 155125974528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266031485544).

155125974528 is an abundant number, since it is smaller than the sum of its proper divisors (376936996560).

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

155125974528 is an frugal number, since it uses more digits than its factorization.

155125974528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 745 counting only the distinct ones).

The product of its digits is 5040000, while the sum is 54.

The spelling of 155125974528 in words is "one hundred fifty-five billion, one hundred twenty-five million, nine hundred seventy-four thousand, five hundred twenty-eight".