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5044106844 = 2234723137277
BaseRepresentation
bin1001011001010011…
…01111011001011100
3111000112101011210000
410230221233121130
540312242404334
62152304414300
7235666125600
oct45451573134
914015334700
105044106844
1121592a3147
12b89317390
1362503280a
1435bca3500
151e7c6a299
hex12ca6f65c

5044106844 has 360 divisors, whose sum is σ = 16320619392. Its totient is φ = 1352090880.

The previous prime is 5044106843. The next prime is 5044106861. The reversal of 5044106844 is 4486014405.

It is a happy number.

5044106844 is a `hidden beast` number, since 504 + 4 + 106 + 8 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5044106799 and 5044106808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5044106843) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18209634 + ... + 18209910.

Almost surely, 25044106844 is an apocalyptic number.

5044106844 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 5044106844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160309696).

5044106844 is an abundant number, since it is smaller than the sum of its proper divisors (11276512548).

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

5044106844 is a wasteful number, since it uses less digits than its factorization.

5044106844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 5044106844 is about 71021.8758130198. The cubic root of 5044106844 is about 1714.9893432629.

The spelling of 5044106844 in words is "five billion, forty-four million, one hundred six thousand, eight hundred forty-four".