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44348555955808 = 25134311390317791
BaseRepresentation
bin10100001010101101100111…
…11011001000111001100000
312211000200101010010212101101
422011112303323020321200
521303101320311041213
6234153240110044144
712225035362561546
oct1205266373107140
9184020333125341
1044348555955808
1113149131744235
124b830697a9654
131b99087a317a0
14ad46a5591d96
1551d91b085bdd
hex2855b3ec8e60

44348555955808 has 96 divisors (see below), whose sum is σ = 94257704927232. Its totient is φ = 20418456844800.

The previous prime is 44348555955643. The next prime is 44348555955857. The reversal of 44348555955808 is 80855955584344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492743393 + ... + 2492761183.

It is an arithmetic number, because the mean of its divisors is an integer number (981851092992).

Almost surely, 244348555955808 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 44348555955808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47128852463616).

44348555955808 is an abundant number, since it is smaller than the sum of its proper divisors (49909148971424).

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

44348555955808 is a wasteful number, since it uses less digits than its factorization.

44348555955808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32148 (or 32140 counting only the distinct ones).

The product of its (nonzero) digits is 2764800000, while the sum is 73.

The spelling of 44348555955808 in words is "forty-four trillion, three hundred forty-eight billion, five hundred fifty-five million, nine hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 431 862 1724 3448 5603 6896 11206 13792 13903 17791 22412 27806 35582 44824 55612 71164 89648 111224 142328 179296 180739 222448 231283 284656 361478 444896 462566 569312 722956 925132 1445912 1850264 2891824 3700528 5783648 5992193 7401056 7667921 11984386 15335842 23968772 30671684 47937544 61343368 77898509 95875088 99682973 122686736 155797018 191750176 199365946 245373472 247348273 311594036 398731892 494696546 623188072 797463784 989393092 1246376144 1594927568 1978786184 2492752288 3189855136 3215527549 3957572368 6431055098 7915144736 12862110196 25724220392 51448440784 102896881568 106607105663 213214211326 426428422652 852856845304 1385892373619 1705713690608 2771784747238 3411427381216 5543569494476 11087138988952 22174277977904 44348555955808