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83681313716 = 227111364332503
BaseRepresentation
bin100110111101111001…
…0111000001110110100
321222222220011012001102
41031323302320032310
52332334404014331
6102235340545232
76021462300440
oct1157362701664
9258886135042
1083681313716
1132541a13610
1214274852218
137b77a15260
14409ba53820
15229b7934cb
hex137bcb83b4

83681313716 has 96 divisors (see below), whose sum is σ = 196933675008. Its totient is φ = 30047448960.

The previous prime is 83681313713. The next prime is 83681313719. The reversal of 83681313716 is 61731318638.

It is an interprime number because it is at equal distance from previous prime (83681313713) and next prime (83681313719).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83681313713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2558321 + ... + 2590823.

It is an arithmetic number, because the mean of its divisors is an integer number (2051392448).

Almost surely, 283681313716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83681313716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98466837504).

83681313716 is an abundant number, since it is smaller than the sum of its proper divisors (113252361292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83681313716 is a wasteful number, since it uses less digits than its factorization.

83681313716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33181 (or 33179 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The spelling of 83681313716 in words is "eighty-three billion, six hundred eighty-one million, three hundred thirteen thousand, seven hundred sixteen".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 643 1001 1286 2002 2572 4004 4501 7073 8359 9002 14146 16718 18004 28292 32503 33436 49511 58513 65006 91949 99022 117026 130012 183898 198044 227521 234052 357533 367796 422539 455042 643643 715066 845078 910084 1287286 1430132 1690156 2502731 2574572 2957773 4647929 5005462 5915546 9295858 10010924 11831092 18591716 20899429 32535503 41798858 65071006 83597716 130142012 146296003 229893719 271692577 292592006 459787438 543385154 585184012 919574876 1086770308 1609256033 1901848039 2988618347 3218512066 3803696078 5977236694 6437024132 7607392156 11954473388 20920328429 41840656858 83681313716