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5044777128 = 23322329731439
BaseRepresentation
bin1001011001011000…
…10011000010101000
3111000120122020020100
410230230103002220
540312430332003
62152331025400
7236004620016
oct45454230250
914016566210
105044777128
1121597107a6
12b8959b260
13625208931
1435bdd98b6
151e7d4dba3
hex12cb130a8

5044777128 has 192 divisors, whose sum is σ = 14961024000. Its totient is φ = 1530676224.

The previous prime is 5044777117. The next prime is 5044777141. The reversal of 5044777128 is 8217774405.

5044777128 is a `hidden beast` number, since 50 + 4 + 477 + 7 + 128 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3505033 + ... + 3506471.

It is an arithmetic number, because the mean of its divisors is an integer number (77922000).

Almost surely, 25044777128 is an apocalyptic number.

5044777128 is a gapful number since it is divisible by the number (58) 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 5044777128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7480512000).

5044777128 is an abundant number, since it is smaller than the sum of its proper divisors (9916246872).

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

5044777128 is a wasteful number, since it uses less digits than its factorization.

5044777128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The square root of 5044777128 is about 71026.5945121966. The cubic root of 5044777128 is about 1715.0653051090.

The spelling of 5044777128 in words is "five billion, forty-four million, seven hundred seventy-seven thousand, one hundred twenty-eight".