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5460544656 = 2432737413571
BaseRepresentation
bin1010001010111100…
…10100110010010000
3112002112222102001200
411011132110302100
542140344412111
62301502231200
7252213602160
oct50536246220
915075872050
105460544656
112352376026
121084885500
136903ab018
1439b3065a0
1521e5c9256
hex145794c90

5460544656 has 240 divisors, whose sum is σ = 18379740288. Its totient is φ = 1480550400.

The previous prime is 5460544643. The next prime is 5460544667. The reversal of 5460544656 is 6564450645.

5460544656 is a `hidden beast` number, since 5 + 46 + 0 + 544 + 65 + 6 = 666.

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, 1527351 + ... + 1530921.

Almost surely, 25460544656 is an apocalyptic number.

5460544656 is a gapful number since it is divisible by the number (56) 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 5460544656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9189870144).

5460544656 is an abundant number, since it is smaller than the sum of its proper divisors (12919195632).

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

5460544656 is a wasteful number, since it uses less digits than its factorization.

5460544656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3661 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The square root of 5460544656 is about 73895.4982120021. The cubic root of 5460544656 is about 1760.9430913198.

The spelling of 5460544656 in words is "five billion, four hundred sixty million, five hundred forty-four thousand, six hundred fifty-six".