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83874240693 = 341035484453
BaseRepresentation
bin100111000011101001…
…0110101100010110101
322000111100011220010000
41032013102311202311
52333233301200233
6102310432021513
76026324165655
oct1160722654265
9260440156100
1083874240693
11326309054a1
1214309391899
137ba8994029
1440b9514365
1522ad6a1d13
hex13874b58b5

83874240693 has 10 divisors (see below), whose sum is σ = 125293618934. Its totient is φ = 55916160408.

The previous prime is 83874240601. The next prime is 83874240707. The reversal of 83874240693 is 39604247838.

83874240693 is a `hidden beast` number, since 83 + 8 + 74 + 2 + 406 + 93 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60072539409 + 23801701284 = 245097^2 + 154278^2 .

It is not a de Polignac number, because 83874240693 - 217 = 83874109621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83874240193) 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 9 ways as a sum of consecutive naturals, for example, 517742146 + ... + 517742307.

Almost surely, 283874240693 is an apocalyptic number.

It is an amenable number.

83874240693 is a deficient number, since it is larger than the sum of its proper divisors (41419378241).

83874240693 is a wasteful number, since it uses less digits than its factorization.

83874240693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035484465 (or 1035484456 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 83874240693 in words is "eighty-three billion, eight hundred seventy-four million, two hundred forty thousand, six hundred ninety-three".

Divisors: 1 3 9 27 81 1035484453 3106453359 9319360077 27958080231 83874240693