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1135116007638 = 2317370112492
BaseRepresentation
bin10000100001001010001…
…011111011100011010110
311000111221012000210020020
4100201022023323203112
5122044204144221023
62225244243250010
7145003142603364
oct20411213734326
94014835023206
101135116007638
113a8444437308
12163bb0079906
138306c058912
143cd23170634
151e7d87e8de3
hex1084a2fb8d6

1135116007638 has 48 divisors (see below), whose sum is σ = 2288444245776. Its totient is φ = 375347481600.

The previous prime is 1135116007583. The next prime is 1135116007667. The reversal of 1135116007638 is 8367006115311.

It is a self number, because there is not a number n which added to its sum of digits gives 1135116007638.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 908819238 + ... + 908820486.

It is an arithmetic number, because the mean of its divisors is an integer number (47675921787).

Almost surely, 21135116007638 is an apocalyptic number.

1135116007638 is an abundant number, since it is smaller than the sum of its proper divisors (1153328238138).

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

1135116007638 is an equidigital number, since it uses as much as digits as its factorization.

1135116007638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 1135116007638 in words is "one trillion, one hundred thirty-five billion, one hundred sixteen million, seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 173 346 519 701 1038 1249 1402 2103 2498 3747 4206 7494 121273 216077 242546 363819 432154 648231 727638 875549 1296462 1560001 1751098 2626647 3120002 4680003 5253294 9360006 151469977 269880173 302939954 454409931 539760346 809640519 908819862 1093560701 1619281038 2187121402 3280682103 6561364206 189186001273 378372002546 567558003819 1135116007638