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34119684212856 = 23311129241228079
BaseRepresentation
bin1111100001000000110111…
…01010000100100001111000
311110210210212110100102101120
413300200123222010201320
513433004103124302411
6200322211101145240
710121031403413444
oct760403352044170
9143723773312346
1034119684212856
11a965093270230
1239b075925b220
13160661ab87538
1485d589b0d824
153e27e815d106
hex1f081ba84878

34119684212856 has 32 divisors (see below), whose sum is σ = 93053684217600. Its totient is φ = 10339298246240.

The previous prime is 34119684212843. The next prime is 34119684212857. The reversal of 34119684212856 is 65821248691143.

It is a super-3 number, since 3×341196842128563 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34119684212856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34119684212857) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 64620613776 + ... + 64620614303.

It is an arithmetic number, because the mean of its divisors is an integer number (2907927631800).

Almost surely, 234119684212856 is an apocalyptic number.

It is an amenable number.

34119684212856 is an abundant number, since it is smaller than the sum of its proper divisors (58934000004744).

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

34119684212856 is a wasteful number, since it uses less digits than its factorization.

34119684212856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129241228099 (or 129241228095 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 34119684212856 in words is "thirty-four trillion, one hundred nineteen billion, six hundred eighty-four million, two hundred twelve thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 129241228079 258482456158 387723684237 516964912316 775447368474 1033929824632 1421653508869 1550894736948 2843307017738 3101789473896 4264960526607 5686614035476 8529921053214 11373228070952 17059842106428 34119684212856