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83430171661323 = 3349431230980071
BaseRepresentation
bin10010111110000100011001…
…101111101101010000001011
3101221101211212002222212111210
4102332010121233231100023
541413404442421130243
6453235143003424203
723400426300142554
oct2276043157552013
9357354762885453
1083430171661323
112464659a978a03
1294353ab825063
13377257bb09a96
141686082bc132b
1599a3247ac933
hex4be119bed40b

83430171661323 has 32 divisors (see below), whose sum is σ = 111867630336000. Its totient is φ = 55307410876800.

The previous prime is 83430171661313. The next prime is 83430171661327. The reversal of 83430171661323 is 32316617103438.

83430171661323 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 83430171661323 - 24 = 83430171661307 is a prime.

It is a super-2 number, since 2×834301716613232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83430171661327) 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, 1041912378 + ... + 1041992448.

It is an arithmetic number, because the mean of its divisors is an integer number (3495863448000).

Almost surely, 283430171661323 is an apocalyptic number.

83430171661323 is a deficient number, since it is larger than the sum of its proper divisors (28437458674677).

83430171661323 is a wasteful number, since it uses less digits than its factorization.

83430171661323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83163.

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 83430171661323 in words is "eighty-three trillion, four hundred thirty billion, one hundred seventy-one million, six hundred sixty-one thousand, three hundred twenty-three".

Divisors: 1 3 349 431 1047 1293 2309 6927 80071 150419 240213 451257 805841 995179 2417523 2985537 27944779 34510601 83834337 103531803 184883939 347317471 554651817 1041952413 12044199749 36132599247 64524494711 79684977709 193573484133 239054933127 27810057220441 83430171661323