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5955256944 = 24337213171967
BaseRepresentation
bin1011000101111011…
…00000001001110000
3120101000212101202000
411202331200021300
544144021210234
62422533454000
7300401564100
oct54275401160
916330771660
105955256944
11258665075a
1211a24a1300
1373ba313a0
14406cc3200
1524cc4a899
hex162f60270

5955256944 has 960 divisors, whose sum is σ = 24223449600. Its totient is φ = 1379524608.

The previous prime is 5955256933. The next prime is 5955257017. The reversal of 5955256944 is 4496525595.

5955256944 is a `hidden beast` number, since 59 + 5 + 525 + 69 + 4 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 88884399 + ... + 88884465.

It is an arithmetic number, because the mean of its divisors is an integer number (25232760).

Almost surely, 25955256944 is an apocalyptic number.

5955256944 is a gapful number since it is divisible by the number (54) 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 5955256944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111724800).

5955256944 is an abundant number, since it is smaller than the sum of its proper divisors (18268192656).

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

5955256944 is a wasteful number, since it uses less digits than its factorization.

5955256944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The square root of 5955256944 is about 77170.3112861416. The cubic root of 5955256944 is about 1812.5924557134.

The spelling of 5955256944 in words is "five billion, nine hundred fifty-five million, two hundred fifty-six thousand, nine hundred forty-four".