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83874000405 = 3513601715679
BaseRepresentation
bin100111000011101000…
…1111010111000010101
322000111022201200111110
41032013101322320111
52333233221003110
6102310422525233
76026322145266
oct1160721727025
9260438650443
1083874000405
1132630760a08
1214309296819
137ba890b850
1440b949096d
1522ad655a20
hex138747ae15

83874000405 has 32 divisors (see below), whose sum is σ = 144762024960. Its totient is φ = 41223052800.

The previous prime is 83874000401. The next prime is 83874000473. The reversal of 83874000405 is 50400047838.

It is not a de Polignac number, because 83874000405 - 22 = 83874000401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83874000401) 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 31 ways as a sum of consecutive naturals, for example, 240645 + ... + 475034.

It is an arithmetic number, because the mean of its divisors is an integer number (4523813280).

Almost surely, 283874000405 is an apocalyptic number.

It is an amenable number.

83874000405 is a deficient number, since it is larger than the sum of its proper divisors (60888024555).

83874000405 is a wasteful number, since it uses less digits than its factorization.

83874000405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716301.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 83874000405 in words is "eighty-three billion, eight hundred seventy-four million, four hundred five", and thus it is an aban number.

Divisors: 1 3 5 13 15 39 65 195 601 1803 3005 7813 9015 23439 39065 117195 715679 2147037 3578395 9303827 10735185 27911481 46519135 139557405 430123079 1290369237 2150615395 5591600027 6451846185 16774800081 27958000135 83874000405