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44644668426 = 2341092938629
BaseRepresentation
bin101001100101000001…
…111001010000001010
311021020100211010210000
4221211001321100022
51212413013342201
632302014103430
73140223264111
oct514501712012
9137210733700
1044644668426
1117a2a82a196
12879b4aab76
13429640c287
1422373b4c78
15126464ed86
hexa6507940a

44644668426 has 80 divisors (see below), whose sum is σ = 101311194600. Its totient is φ = 14693000832.

The previous prime is 44644668421. The next prime is 44644668451. The reversal of 44644668426 is 62486644644.

44644668426 is a `hidden beast` number, since 44 + 64 + 466 + 84 + 2 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43932579201 + 712089225 = 209601^2 + 26685^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (44644668421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5169480 + ... + 5178108.

Almost surely, 244644668426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44644668426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50655597300).

44644668426 is an abundant number, since it is smaller than the sum of its proper divisors (56666526174).

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

44644668426 is a wasteful number, since it uses less digits than its factorization.

44644668426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9045 (or 9036 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 44644668426 in words is "forty-four billion, six hundred forty-four million, six hundred sixty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 293 327 586 654 879 981 1758 1962 2637 2943 5274 5886 7911 8629 8829 15822 17258 17658 23733 25887 31937 47466 51774 63874 77661 95811 155322 191622 232983 287433 465966 574866 698949 862299 940561 1397898 1724598 1881122 2528297 2586897 2821683 5056594 5173794 5643366 7584891 8465049 15169782 16930098 22754673 25395147 45509346 50790294 68264019 76185441 136528038 152370882 204792057 275584373 409584114 551168746 826753119 1653506238 2480259357 4960518714 7440778071 14881556142 22322334213 44644668426