Search a number
-
+
56442197088 = 2535191033709
BaseRepresentation
bin110100100100001101…
…111001010001100000
312101200112221200200000
4310210031321101200
51411043200301323
641532412100000
74035455521314
oct644415712140
9171615850600
1056442197088
1121a34170082
12ab32464600
135426632974
142a36169b44
151705228e43
hexd24379460

56442197088 has 288 divisors, whose sum is σ = 176961657600. Its totient is φ = 17646045696.

The previous prime is 56442197051. The next prime is 56442197099. The reversal of 56442197088 is 88079124465.

It is a happy number.

56442197088 is a `hidden beast` number, since 5 + 6 + 442 + 197 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×564421970882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15215778 + ... + 15219486.

It is an arithmetic number, because the mean of its divisors is an integer number (614450200).

Almost surely, 256442197088 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 56442197088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88480828800).

56442197088 is an abundant number, since it is smaller than the sum of its proper divisors (120519460512).

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

56442197088 is a wasteful number, since it uses less digits than its factorization.

56442197088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 56442197088 in words is "fifty-six billion, four hundred forty-two million, one hundred ninety-seven thousand, eighty-eight".