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5044431600 = 24335213193161
BaseRepresentation
bin1001011001010101…
…11110101011110000
3111000112222200021000
410230222332223300
540312333302400
62152315402000
7236001650445
oct45452765360
914015880230
105044431600
1121594a513a
12b89453300
13625117590
1435bd499cc
151e7cd1600
hex12cabeaf0

5044431600 has 960 divisors, whose sum is σ = 21354188800. Its totient is φ = 1119744000.

The previous prime is 5044431589. The next prime is 5044431673. The reversal of 5044431600 is 61344405.

5044431600 is a `hidden beast` number, since 50 + 4 + 4 + 4 + 3 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 82695570 + ... + 82695630.

Almost surely, 25044431600 is an apocalyptic number.

5044431600 is a gapful number since it is divisible by the number (50) 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 5044431600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677094400).

5044431600 is an abundant number, since it is smaller than the sum of its proper divisors (16309757200).

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

5044431600 is a wasteful number, since it uses less digits than its factorization.

5044431600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5044431600 is about 71024.1620858705. The cubic root of 5044431600 is about 1715.0261480032.

The spelling of 5044431600 in words is "five billion, forty-four million, four hundred thirty-one thousand, six hundred".