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199193874323235 = 351123371914113607
BaseRepresentation
bin101101010010101001110000…
…000111101101011100100011
3222010021202012120221200210120
4231102221300013231130203
5202102043023311320420
61543352222542331323
756646165620160531
oct5522516007553443
9863252176850716
10199193874323235
1158518714099a80
121a411135589b43
13871bb951b29cc
14372906bcd7151
1518067530dbd40
hexb52a701ed723

199193874323235 has 64 divisors (see below), whose sum is σ = 362898121605120. Its totient is φ = 92354921310080.

The previous prime is 199193874323231. The next prime is 199193874323287. The reversal of 199193874323235 is 532323478391991.

199193874323235 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 141136062-1.

It is not a de Polignac number, because 199193874323235 - 22 = 199193874323231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 199193874323235.

It is not an unprimeable number, because it can be changed into a prime (199193874323231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7056802 + ... + 21170408.

It is an arithmetic number, because the mean of its divisors is an integer number (5670283150080).

Almost surely, 2199193874323235 is an apocalyptic number.

199193874323235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

199193874323235 is a deficient number, since it is larger than the sum of its proper divisors (163704247281885).

199193874323235 is a wasteful number, since it uses less digits than its factorization.

199193874323235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14117368.

The product of its digits is 264539520, while the sum is 69.

The spelling of 199193874323235 in words is "one hundred ninety-nine trillion, one hundred ninety-three billion, eight hundred seventy-four million, three hundred twenty-three thousand, two hundred thirty-five".

Divisors: 1 3 5 11 15 23 33 55 69 115 165 253 345 759 1265 3719 3795 11157 18595 40909 55785 85537 122727 204545 256611 427685 613635 940907 1283055 2822721 4704535 14113605 14113607 42340821 70568035 155249677 211704105 324612961 465749031 776248385 973838883 1623064805 2328745155 3570742571 4869194415 10712227713 17853712855 52488504433 53561138565 157465513299 262442522165 577373548763 787327566495 1207235601959 1732120646289 2886867743815 3621706805877 6036178009795 8660603231445 13279591621549 18108534029385 39838774864647 66397958107745 199193874323235