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83812088800414 = 2138936219571651
BaseRepresentation
bin10011000011101000000101…
…110001111110010010011110
3101222202100122120110201200101
4103003220011301332102132
541441134124213103124
6454130424141251314
723440136456231512
oct2303500561762236
9358670576421611
1083812088800414
1124783564173257
129497416b63b3a
13379c5a4cc5210
14169a753548142
159a52288d1644
hex4c3a05c7e49e

83812088800414 has 16 divisors (see below), whose sum is σ = 136909980844560. Its totient is φ = 38247867662400.

The previous prime is 83812088800411. The next prime is 83812088800423. The reversal of 83812088800414 is 41400888021838.

It is a happy number.

83812088800414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83812088800411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18109783512 + ... + 18109788139.

It is an arithmetic number, because the mean of its divisors is an integer number (8556873802785).

Almost surely, 283812088800414 is an apocalyptic number.

83812088800414 is a deficient number, since it is larger than the sum of its proper divisors (53097892044146).

83812088800414 is a wasteful number, since it uses less digits than its factorization.

83812088800414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36219571755.

The product of its (nonzero) digits is 3145728, while the sum is 55.

The spelling of 83812088800414 in words is "eighty-three trillion, eight hundred twelve billion, eighty-eight million, eight hundred thousand, four hundred fourteen".

Divisors: 1 2 13 26 89 178 1157 2314 36219571651 72439143302 470854431463 941708862926 3223541876939 6447083753878 41906044400207 83812088800414