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5457744442944 = 26342939358219
BaseRepresentation
bin100111101101011101011…
…1010110011011001000000
3201022202101121001010120000
41033122322322303121000
51203404430034133234
615335130404320000
71102210665220563
oct117327272633100
921282347033500
105457744442944
111814686500582
127418b76a3000
13307880a78531
1414c228a1c4da
1596e7d829899
hex4f6baeb3640

5457744442944 has 140 divisors (see below), whose sum is σ = 16184014215600. Its totient is φ = 1818624068352.

The previous prime is 5457744442939. The next prime is 5457744442949. The reversal of 5457744442944 is 4492444477545.

5457744442944 is a `hidden beast` number, since 5 + 45 + 77 + 44 + 442 + 9 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (5457744442939) and next prime (5457744442949).

It is a super-2 number, since 2×54577444429442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5457744442949) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 15056667 + ... + 15414885.

It is an arithmetic number, because the mean of its divisors is an integer number (115600101540).

Almost surely, 25457744442944 is an apocalyptic number.

5457744442944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5457744442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092007107800).

5457744442944 is an abundant number, since it is smaller than the sum of its proper divisors (10726269772656).

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

5457744442944 is a wasteful number, since it uses less digits than its factorization.

5457744442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361182 (or 361163 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 63.

The spelling of 5457744442944 in words is "five trillion, four hundred fifty-seven billion, seven hundred forty-four million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 2939 5184 5878 8817 11756 17634 23512 26451 35268 47024 52902 70536 79353 94048 105804 141072 158706 188096 211608 238059 282144 317412 358219 423216 476118 564288 634824 716438 846432 952236 1074657 1269648 1432876 1692864 1904472 2149314 2539296 2865752 3223971 3808944 4298628 5078592 5731504 6447942 7617888 8597256 9671913 11463008 12895884 15235776 17194512 19343826 22926016 25791768 29015739 34389024 38687652 51583536 58031478 68778048 77375304 103167072 116062956 154750608 206334144 232125912 309501216 464251824 619002432 928503648 1052805641 1857007296 2105611282 3158416923 4211222564 6316833846 8422445128 9475250769 12633667692 16844890256 18950501538 25267335384 28425752307 33689780512 37901003076 50534670768 56851504614 67379561024 75802006152 85277256921 101069341536 113703009228 151604012304 170554513842 202138683072 227406018456 303208024608 341109027684 454812036912 606416049216 682218055368 909624073824 1364436110736 1819248147648 2728872221472 5457744442944