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44918009136 = 243372112131971
BaseRepresentation
bin101001110101010100…
…100110110100110000
311021221102011021202000
4221311110212310300
51213443002243021
632345100454000
73150052530600
oct516524466460
9137842137660
1044918009136
1118060055100
128856b4a300
13430ac34840
142261808c00
15127d644b26
hexa75526d30

44918009136 has 1440 divisors, whose sum is σ = 189512870400. Its totient is φ = 10059033600.

The previous prime is 44918009131. The next prime is 44918009173. The reversal of 44918009136 is 63190081944.

It is a junction number, because it is equal to n+sod(n) for n = 44918009091 and 44918009100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44918009131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 632647981 + ... + 632648051.

It is an arithmetic number, because the mean of its divisors is an integer number (131606160).

Almost surely, 244918009136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44918009136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94756435200).

44918009136 is an abundant number, since it is smaller than the sum of its proper divisors (144594861264).

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

44918009136 is a wasteful number, since it uses less digits than its factorization.

44918009136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 44918009136 in words is "forty-four billion, nine hundred eighteen million, nine thousand, one hundred thirty-six".