Search a number
-
+
557395722630 = 23251131393531117
BaseRepresentation
bin10000001110001110101…
…11111100000110000110
31222021201212101112001100
420013013113330012012
533113021301111010
61104021500440530
755161533316555
oct10070727740606
91867655345040
10557395722630
111a543239940a
129003a849146
1340740198126
141cd99c7dd9c
15e77490d2c0
hex81c75fc186

557395722630 has 192 divisors, whose sum is σ = 1478065942080. Its totient is φ = 145718673408.

The previous prime is 557395722547. The next prime is 557395722757. The reversal of 557395722630 is 36227593755.

557395722630 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 9 + 572 + 2 + 63 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 499010832 + ... + 499011948.

It is an arithmetic number, because the mean of its divisors is an integer number (7698260115).

Almost surely, 2557395722630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557395722630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739032971040).

557395722630 is an abundant number, since it is smaller than the sum of its proper divisors (920670219450).

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

557395722630 is a wasteful number, since it uses less digits than its factorization.

557395722630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 557395722630 in words is "five hundred fifty-seven billion, three hundred ninety-five million, seven hundred twenty-two thousand, six hundred thirty".