Search a number
-
+
5632045056 = 2123211171943
BaseRepresentation
bin1010011111011001…
…00011000000000000
3112112111200112101100
411033230203000000
543013300420211
62330510134400
7256365410301
oct51754430000
915474615340
105632045056
1124301628a0
1211121b1400
136b9a97251
143b5dca7a8
1522e6a4156
hex14fb23000

5632045056 has 624 divisors, whose sum is σ = 20240288640. Its totient is φ = 1486356480.

The previous prime is 5632045033. The next prime is 5632045057. The reversal of 5632045056 is 6505402365.

It is a happy number.

5632045056 is a `hidden beast` number, since 563 + 2 + 0 + 45 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5632045056.

It is not an unprimeable number, because it can be changed into a prime (5632045057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130977771 + ... + 130977813.

It is an arithmetic number, because the mean of its divisors is an integer number (32436360).

Almost surely, 25632045056 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 5632045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120144320).

5632045056 is an abundant number, since it is smaller than the sum of its proper divisors (14608243584).

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

5632045056 is a wasteful number, since it uses less digits than its factorization.

5632045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5632045056 is about 75046.9523431831. The cubic root of 5632045056 is about 1779.1888169337.

The spelling of 5632045056 in words is "five billion, six hundred thirty-two million, forty-five thousand, fifty-six".