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2034542113429 = 72292775168837
BaseRepresentation
bin11101100110110100001…
…010001111001010010101
321012111111201221000121111
4131212310022033022111
5231313220240112204
64154353350215021
7266663564424100
oct35466412171225
97174451830544
102034542113429
11714931a89971
1228a384054471
13119b19959747
1470688247737
1537dca762d04
hex1d9b428f295

2034542113429 has 24 divisors (see below), whose sum is σ = 2457162208440. Its totient is φ = 1677680113536.

The previous prime is 2034542113427. The next prime is 2034542113463. The reversal of 2034542113429 is 9243112454302.

It can be written as a sum of positive squares in 4 ways, for example, as 133402500 + 2034408710929 = 11550^2 + 1426327^2 .

It is not a de Polignac number, because 2034542113429 - 21 = 2034542113427 is a prime.

It is a super-2 number, since 2×20345421134292 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2034542113391 and 2034542113400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034542113423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190802 + ... + 2978035.

It is an arithmetic number, because the mean of its divisors is an integer number (102381758685).

Almost surely, 22034542113429 is an apocalyptic number.

2034542113429 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2034542113429 is a deficient number, since it is larger than the sum of its proper divisors (422620095011).

2034542113429 is a wasteful number, since it uses less digits than its factorization.

2034542113429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169157 (or 5169150 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2034542113429 in words is "two trillion, thirty-four billion, five hundred forty-two million, one hundred thirteen thousand, four hundred twenty-nine".

Divisors: 1 7 29 49 203 277 1421 1939 8033 13573 56231 393617 5168837 36181859 149896273 253273013 1049273911 1431767849 7344917377 10022374943 41521267621 70156624601 290648873347 2034542113429