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44106557542050 = 235210712132265517
BaseRepresentation
bin10100000011101010110111…
…01100011100111010100010
312210011112201211102201002010
422001311123230130322202
521240120212212321200
6233450134532133350
712201410420156553
oct1201653354347242
9183145654381063
1044106557542050
1113065538971183
124b44190a67256
131b7c2cc61ca13
14ac6aa973c32a
155174a597c150
hex281d5bb1cea2

44106557542050 has 96 divisors (see below), whose sum is σ = 110497613717952. Its totient is φ = 11642214862080.

The previous prime is 44106557542007. The next prime is 44106557542121. The reversal of 44106557542050 is 5024575560144.

44106557542050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18335892 + ... + 20601408.

It is an arithmetic number, because the mean of its divisors is an integer number (1151016809562).

Almost surely, 244106557542050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44106557542050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248806858976).

44106557542050 is an abundant number, since it is smaller than the sum of its proper divisors (66391056175902).

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

44106557542050 is a wasteful number, since it uses less digits than its factorization.

44106557542050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266852 (or 2266847 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 44106557542050 in words is "forty-four trillion, one hundred six billion, five hundred fifty-seven million, five hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 107 150 214 321 535 642 1070 1213 1605 2426 2675 3210 3639 5350 6065 7278 8025 12130 16050 18195 30325 36390 60650 90975 129791 181950 259582 389373 648955 778746 1297910 1946865 2265517 3244775 3893730 4531034 6489550 6796551 9734325 11327585 13593102 19468650 22655170 33982755 56637925 67965510 113275850 169913775 242410319 339827550 484820638 727230957 1212051595 1454461914 2424103190 2748072121 3636154785 5496144242 6060257975 7272309570 8244216363 12120515950 13740360605 16488432726 18180773925 27480721210 36361547850 41221081815 68701803025 82442163630 137403606050 206105409075 294043716947 412210818150 588087433894 882131150841 1470218584735 1764262301682 2940437169470 4410655754205 7351092923675 8821311508410 14702185847350 22053278771025 44106557542050