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54441965336820 = 22353198392974883
BaseRepresentation
bin11000110000011110000100…
…00000010011100011110100
321010202121020011121022211220
430120033002000103203310
524113434121111234240
6311442143230230340
714316205440001065
oct1430170200234364
9233677204538756
1054441965336820
111638a7871517a6
1261332740553b0
13244bb1713ac99
14d6301030c56c
156462618125d0
hex3183c20138f4

54441965336820 has 96 divisors (see below), whose sum is σ = 157370887618560. Its totient is φ = 14048106775680.

The previous prime is 54441965336797. The next prime is 54441965336821. The reversal of 54441965336820 is 2863356914445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54441965336821) 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, 16813099 + ... + 19787981.

It is an arithmetic number, because the mean of its divisors is an integer number (1639280079360).

Almost surely, 254441965336820 is an apocalyptic number.

It is an amenable number.

54441965336820 is an abundant number, since it is smaller than the sum of its proper divisors (102928922281740).

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

54441965336820 is a wasteful number, since it uses less digits than its factorization.

54441965336820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984765 (or 2984763 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 60.

The spelling of 54441965336820 in words is "fifty-four trillion, four hundred forty-one billion, nine hundred sixty-five million, three hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 9839 19678 29517 39356 49195 59034 98390 118068 147585 196780 295170 305009 590340 610018 915027 1220036 1525045 1830054 2974883 3050090 3660108 4575135 5949766 6100180 8924649 9150270 11899532 14874415 17849298 18300540 29748830 35698596 44623245 59497660 89246490 92221373 178492980 184442746 276664119 368885492 461106865 553328238 922213730 1106656476 1383320595 1844427460 2766641190 5533282380 29269873837 58539747674 87809621511 117079495348 146349369185 175619243022 292698738370 351238486044 439048107555 585397476740 878096215110 907366088947 1756192430220 1814732177894 2722098266841 3629464355788 4536830444735 5444196533682 9073660889470 10888393067364 13610491334205 18147321778940 27220982668410 54441965336820