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20394116045292 = 22311537417393031
BaseRepresentation
bin1001010001100011000000…
…00010101101100111101100
32200012122210000100000012010
410220301200002231213230
510133114122201422132
6111212532204441220
74203266131104663
oct450614002554754
980178700300163
1020394116045292
11655310691a150
122354624249210
13b4c2068c7172
1450711abbbdda
1525576ee1a6cc
hex128c600ad9ec

20394116045292 has 96 divisors (see below), whose sum is σ = 52899038406144. Its totient is φ = 6062597798400.

The previous prime is 20394116045257. The next prime is 20394116045327. The reversal of 20394116045292 is 29254061149302.

It is an interprime number because it is at equal distance from previous prime (20394116045257) and next prime (20394116045327).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51692817 + ... + 52085847.

It is an arithmetic number, because the mean of its divisors is an integer number (551031650064).

Almost surely, 220394116045292 is an apocalyptic number.

20394116045292 is a gapful number since it is divisible by the number (22) 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 20394116045292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449519203072).

20394116045292 is an abundant number, since it is smaller than the sum of its proper divisors (32504922360852).

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

20394116045292 is a wasteful number, since it uses less digits than its factorization.

20394116045292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400519 (or 400517 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 20394116045292 in words is "twenty trillion, three hundred ninety-four billion, one hundred sixteen million, forty-five thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 7417 14834 22251 29668 44502 81587 89004 163174 244761 326348 393031 393101 489522 786062 786202 979044 1179093 1179303 1572124 1572404 2358186 2358606 4323341 4324111 4716372 4717212 8646682 8648222 12970023 12972333 17293364 17296444 20830643 25940046 25944666 41661286 51880092 51889332 62491929 83322572 124983858 229137073 249967716 458274146 687411219 916548292 1374822438 2749644876 2915110927 5830221854 8745332781 11660443708 17490665562 32066220197 34981331124 64132440394 96198660591 128264880788 154500879131 192397321182 309001758262 384794642364 463502637393 618003516524 927005274786 1699509670441 1854010549572 3399019340882 5098529011323 6798038681764 10197058022646 20394116045292