Search a number
-
+
5656811472 = 24331317193307
BaseRepresentation
bin1010100010010110…
…00001011111010000
3112121020021210112000
411101023001133100
543041120431342
62333153034000
7260116050504
oct52113013720
915536253460
105656811472
112443139204
12111a555900
136c1c59030
143b93d6304
1523194744c
hex1512c17d0

5656811472 has 320 divisors, whose sum is σ = 18671304960. Its totient is φ = 1624375296.

The previous prime is 5656811449. The next prime is 5656811483. The reversal of 5656811472 is 2741186565.

5656811472 is a `hidden beast` number, since 5 + 6 + 568 + 1 + 14 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18425943 + ... + 18426249.

It is an arithmetic number, because the mean of its divisors is an integer number (58347828).

Almost surely, 25656811472 is an apocalyptic number.

5656811472 is a gapful number since it is divisible by the number (52) 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 5656811472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9335652480).

5656811472 is an abundant number, since it is smaller than the sum of its proper divisors (13014493488).

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

5656811472 is a wasteful number, since it uses less digits than its factorization.

5656811472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5656811472 is about 75211.7774819875. Note that the first 3 decimals coincide. The cubic root of 5656811472 is about 1781.7929449141.

The spelling of 5656811472 in words is "five billion, six hundred fifty-six million, eight hundred eleven thousand, four hundred seventy-two".