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5055934464 = 2123472311
BaseRepresentation
bin1001011010101101…
…10111000000000000
3111001100122002020000
410231112313000000
540323304400324
62153410120000
7236201506500
oct45526670000
914040562200
105055934464
112164a41439
12b91280000
136276141c9
1435d6a1a00
151e8d049c9
hex12d5b7000

5055934464 has 390 divisors, whose sum is σ = 17625918024. Its totient is φ = 1439907840.

The previous prime is 5055934441. The next prime is 5055934483. The reversal of 5055934464 is 4644395505.

5055934464 is a `hidden beast` number, since 5 + 0 + 559 + 34 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16256869 + ... + 16257179.

Almost surely, 25055934464 is an apocalyptic number.

5055934464 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 5055934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812959012).

5055934464 is an abundant number, since it is smaller than the sum of its proper divisors (12569983560).

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

5055934464 is an equidigital number, since it uses as much as digits as its factorization.

5055934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The square root of 5055934464 is about 71105.0945010271. The cubic root of 5055934464 is about 1716.3287550475.

The spelling of 5055934464 in words is "five billion, fifty-five million, nine hundred thirty-four thousand, four hundred sixty-four".