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83400565237249 = 1314130745400639
BaseRepresentation
bin10010111101101000110101…
…000100001010011000000001
3101221022000102210021200210211
4102331220311010022120001
541412413324200042444
6453213405111154121
723365330516531441
oct2275506504123001
9357260383250724
1083400565237249
1124634a87912337
12942b708675941
13376c841147260
141684874b48121
159996904c8c34
hex4bda3510a601

83400565237249 has 8 divisors (see below), whose sum is σ = 89816630919680. Its totient is φ = 76984590638736.

The previous prime is 83400565237243. The next prime is 83400565237261. The reversal of 83400565237249 is 94273256500438.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 83400565237249 - 223 = 83400556848641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83400565237193 and 83400565237202.

It is not an unprimeable number, because it can be changed into a prime (83400565237243) 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, 20863329 + ... + 24537310.

It is an arithmetic number, because the mean of its divisors is an integer number (11227078864960).

Almost surely, 283400565237249 is an apocalyptic number.

It is an amenable number.

83400565237249 is a deficient number, since it is larger than the sum of its proper divisors (6416065682431).

83400565237249 is a wasteful number, since it uses less digits than its factorization.

83400565237249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45541959.

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 83400565237249 in words is "eighty-three trillion, four hundred billion, five hundred sixty-five million, two hundred thirty-seven thousand, two hundred forty-nine".

Divisors: 1 13 141307 1836991 45400639 590208307 6415428095173 83400565237249