Search a number
-
+
5655336960 = 211357213172
BaseRepresentation
bin1010100010001010…
…11001100000000000
3112121010111212212110
411101011121200000
543040231240320
62333101255320
7260100366600
oct52105314000
915533455773
105655336960
1124423213a9
121119b64540
136c1860b40
143b9130c00
152317555e0
hex151159800

5655336960 has 864 divisors, whose sum is σ = 24077224080. Its totient is φ = 1123024896.

The previous prime is 5655336959. The next prime is 5655337031. The reversal of 5655336960 is 696335565.

It is a super-2 number, since 2×56553369602 = 63965672262284083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 332666872 + ... + 332666888.

Almost surely, 25655336960 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 5655336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12038612040).

5655336960 is an abundant number, since it is smaller than the sum of its proper divisors (18421887120).

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

5655336960 is a wasteful number, since it uses less digits than its factorization.

5655336960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 48.

The square root of 5655336960 is about 75201.9744421647. The cubic root of 5655336960 is about 1781.6381166213.

The spelling of 5655336960 in words is "five billion, six hundred fifty-five million, three hundred thirty-six thousand, nine hundred sixty".