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5645022480 = 2432523214821
BaseRepresentation
bin1010100000111100…
…00011010100010000
3112120102002212001200
411100132003110100
543030111204410
62332052231200
7256613620326
oct52036032420
915512085050
105645022480
112437516a39
12111660b500
136bc68c0b6
143b7a07d16
152308b93c0
hex150783510

5645022480 has 180 divisors, whose sum is σ = 19819296588. Its totient is φ = 1439792640.

The previous prime is 5645022479. The next prime is 5645022511. The reversal of 5645022480 is 842205465.

It is a happy number.

5645022480 is a `hidden beast` number, since 5 + 645 + 0 + 2 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2253590784 + 3391431696 = 47472^2 + 58236^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 373470 + ... + 388290.

Almost surely, 25645022480 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 5645022480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909648294).

5645022480 is an abundant number, since it is smaller than the sum of its proper divisors (14174274108).

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

5645022480 is a wasteful number, since it uses less digits than its factorization.

5645022480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886 (or 14854 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5645022480 is about 75133.3646258438. The cubic root of 5645022480 is about 1780.5543112250.

The spelling of 5645022480 in words is "five billion, six hundred forty-five million, twenty-two thousand, four hundred eighty".