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44435354868 = 223417127139457
BaseRepresentation
bin101001011000100011…
…011011010011110100
311020200202221220120000
4221120203123103310
51212000422323433
632225135511300
73132102166362
oct513043332364
9136622856500
1044435354868
1117932665883
128741388530
134261c439b8
14221768a632
1512510a6113
hexa588db4f4

44435354868 has 240 divisors, whose sum is σ = 125129410560. Its totient is φ = 13701187584.

The previous prime is 44435354861. The next prime is 44435354933. The reversal of 44435354868 is 86845353444.

44435354868 is a `hidden beast` number, since 4 + 4 + 4 + 3 + 535 + 48 + 68 = 666.

44435354868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44435354861) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97232496 + ... + 97232952.

It is an arithmetic number, because the mean of its divisors is an integer number (521372544).

Almost surely, 244435354868 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 44435354868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62564705280).

44435354868 is an abundant number, since it is smaller than the sum of its proper divisors (80694055692).

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

44435354868 is a wasteful number, since it uses less digits than its factorization.

44435354868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 44435354868 in words is "forty-four billion, four hundred thirty-five million, three hundred fifty-four thousand, eight hundred sixty-eight".