Search a number
-
+
557213886432 = 25327297461883
BaseRepresentation
bin10000001101111001000…
…10010010011111100000
31222021021012020021200100
420012330202102133200
533112133223331212
61103551443222400
755154164613100
oct10067442223740
91867235207610
10557213886432
111a5349792165
128bba9977a00
1340711600548
141cd7da69200
15e763990bdc
hex81bc8927e0

557213886432 has 432 divisors, whose sum is σ = 1868439645072. Its totient is φ = 157042851840.

The previous prime is 557213886391. The next prime is 557213886433. The reversal of 557213886432 is 234688312755.

557213886432 is a `hidden beast` number, since 5 + 5 + 72 + 138 + 8 + 6 + 432 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557213886433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 631045863 + ... + 631046745.

It is an arithmetic number, because the mean of its divisors is an integer number (4325091771).

Almost surely, 2557213886432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557213886432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934219822536).

557213886432 is an abundant number, since it is smaller than the sum of its proper divisors (1311225758640).

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

557213886432 is a wasteful number, since it uses less digits than its factorization.

557213886432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1453 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 557213886432 in words is "five hundred fifty-seven billion, two hundred thirteen million, eight hundred eighty-six thousand, four hundred thirty-two".