Search a number
-
+
530156793600 = 28375272773
BaseRepresentation
bin1111011011011111100…
…11101010111100000000
31212200102112112120000000
413231233303222330000
532141230114343400
61043314540000000
753205531251400
oct7555763527400
91780375476000
10530156793600
11194924763915
12868b8530000
133acbbb50045
141b934404800
15dbcd3ce600
hex7b6fceaf00

530156793600 has 1296 divisors, whose sum is σ = 2292304220640. Its totient is φ = 121021931520.

The previous prime is 530156793587. The next prime is 530156793697. The reversal of 530156793600 is 6397651035.

530156793600 is a `hidden beast` number, since 5 + 30 + 1 + 5 + 6 + 7 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 685842814 + ... + 685843586.

Almost surely, 2530156793600 is an apocalyptic number.

530156793600 is a gapful number since it is divisible by the number (50) 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 530156793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146152110320).

530156793600 is an abundant number, since it is smaller than the sum of its proper divisors (1762147427040).

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

530156793600 is an frugal number, since it uses more digits than its factorization.

530156793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 530156793600 in words is "five hundred thirty billion, one hundred fifty-six million, seven hundred ninety-three thousand, six hundred".