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54441965336844 = 22319537695858639
BaseRepresentation
bin11000110000011110000100…
…00000010011100100001100
321010202121020011121022212210
430120033002000103210030
524113434121111234334
6311442143230230420
714316205440001131
oct1430170200234414
9233677204538783
1054441965336844
111638a787151818
126133274055410
13244bb1713acb7
14d6301030c588
156462618125e9
hex3183c201390c

54441965336844 has 96 divisors (see below), whose sum is σ = 136417260672000. Its totient is φ = 16845880836096.

The previous prime is 54441965336821. The next prime is 54441965336849. The reversal of 54441965336844 is 44863356914445.

It is not an unprimeable number, because it can be changed into a prime (54441965336849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6363277 + ... + 12221915.

It is an arithmetic number, because the mean of its divisors is an integer number (1421013132000).

Almost surely, 254441965336844 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 54441965336844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68208630336000).

54441965336844 is an abundant number, since it is smaller than the sum of its proper divisors (81975295335156).

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

54441965336844 is a wasteful number, since it uses less digits than its factorization.

54441965336844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859487 (or 5859485 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 66.

The spelling of 54441965336844 in words is "fifty-four trillion, four hundred forty-one billion, nine hundred sixty-five million, three hundred thirty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 769 1007 1538 2014 2307 3021 3076 4028 4614 6042 9228 12084 14611 29222 40757 43833 58444 81514 87666 122271 163028 175332 244542 489084 774383 1548766 2323149 3097532 4646298 5858639 9292596 11717278 17575917 23434556 35151834 70303668 111314141 222628282 310507867 333942423 445256564 621015734 667884846 931523601 1242031468 1335769692 1863047202 3726094404 4505293391 5899649473 9010586782 11799298946 13515880173 17698948419 18021173564 23598597892 27031760346 35397896838 54063520692 70795793676 85600574429 171201148858 238780549723 256801723287 342402297716 477561099446 513603446574 716341649169 955122198892 1027206893148 1432683298338 2865366596676 4536830444737 9073660889474 13610491334211 18147321778948 27220982668422 54441965336844