Search a number
-
+
557015707008 = 27321771400597
BaseRepresentation
bin10000001101100001011…
…10010010110110000000
31222020202101022201121200
420012300232102312000
533111232010111013
61103520043421200
755146240250365
oct10066056226600
91866671281550
10557015707008
111a5257933012
128bb53524800
13406ac532b07
141cd615dc46c
15e751395e73
hex81b0b92d80

557015707008 has 192 divisors, whose sum is σ = 1721065151520. Its totient is φ = 172288327680.

The previous prime is 557015707007. The next prime is 557015707057. The reversal of 557015707008 is 800707510755.

557015707008 is a `hidden beast` number, since 5 + 5 + 7 + 0 + 1 + 570 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557015707007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190166 + ... + 1590762.

Almost surely, 2557015707008 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 557015707008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860532575760).

557015707008 is an abundant number, since it is smaller than the sum of its proper divisors (1164049444512).

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

557015707008 is a wasteful number, since it uses less digits than its factorization.

557015707008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400705 (or 400690 counting only the distinct ones).

The product of its (nonzero) digits is 343000, while the sum is 45.

The spelling of 557015707008 in words is "five hundred fifty-seven billion, fifteen million, seven hundred seven thousand, eight".