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44640661426416 = 24331131679144623
BaseRepresentation
bin10100010011001101101101…
…10001000101000011110000
312212001121100110010020201000
422021212312301011003300
521322343033311121131
6234535345312042000
712255116130242436
oct1211466661050360
9185047313106630
1044640661426416
1113250aa8660780
12500b7ab233300
131bba79a127b13
14b04896042d56
1552631562ece6
hex2899b6c450f0

44640661426416 has 320 divisors, whose sum is σ = 144317528801280. Its totient is φ = 13088882016000.

The previous prime is 44640661426393. The next prime is 44640661426577. The reversal of 44640661426416 is 61462416604644.

44640661426416 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 0 + 6 + 614 + 2 + 6 + 4 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000373481 + ... + 1000418103.

It is an arithmetic number, because the mean of its divisors is an integer number (450992277504).

Almost surely, 244640661426416 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 44640661426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72158764400640).

44640661426416 is an abundant number, since it is smaller than the sum of its proper divisors (99676867374864).

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

44640661426416 is a wasteful number, since it uses less digits than its factorization.

44640661426416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51473 (or 51461 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 44640661426416 in words is "forty-four trillion, six hundred forty billion, six hundred sixty-one million, four hundred twenty-six thousand, four hundred sixteen".