Search a number
-
+
56603555712 = 27321131891619
BaseRepresentation
bin110100101101110101…
…011011011110000000
312102002210120120002100
4310231311123132000
51411411002240322
642000414350400
74042455166524
oct645565333600
9172083516070
1056603555712
1122007260210
12ab784bb400
135450baa942
142a4d76dd84
15171449ddac
hexd2dd5b780

56603555712 has 384 divisors, whose sum is σ = 185597568000. Its totient is φ = 16402636800.

The previous prime is 56603555711. The next prime is 56603555761. The reversal of 56603555712 is 21755530665.

56603555712 is a `hidden beast` number, since 5 + 6 + 60 + 35 + 557 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56603555711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34961239 + ... + 34962857.

It is an arithmetic number, because the mean of its divisors is an integer number (483327000).

Almost surely, 256603555712 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 56603555712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92798784000).

56603555712 is an abundant number, since it is smaller than the sum of its proper divisors (128994012288).

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

56603555712 is a wasteful number, since it uses less digits than its factorization.

56603555712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 56603555712 in words is "fifty-six billion, six hundred three million, five hundred fifty-five thousand, seven hundred twelve".