Search a number
-
+
83811016959193 = 17196411420728493
BaseRepresentation
bin10011000011100111000101…
…111001001110010011011001
3101222202020212212121112221101
4103003213011321032103121
541441124430320143233
6454130125532111401
723440101062565136
oct2303470571162331
9358666785545841
1083811016959193
1124783064141067
129497178005561
13379c463c23444
14169a69105958d
159a51b475dc7d
hex4c39c5e4e4d9

83811016959193 has 32 divisors (see below), whose sum is σ = 93567256842240. Its totient is φ = 74604875120640.

The previous prime is 83811016959169. The next prime is 83811016959233. The reversal of 83811016959193 is 39195961011838.

It is a de Polignac number, because none of the positive numbers 2k-83811016959193 is a prime.

It is a super-3 number, since 3×838110169591933 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83811016959143) 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, 2941445655 + ... + 2941474147.

It is an arithmetic number, because the mean of its divisors is an integer number (2923976776320).

Almost surely, 283811016959193 is an apocalyptic number.

It is an amenable number.

83811016959193 is a deficient number, since it is larger than the sum of its proper divisors (9756239883047).

83811016959193 is a wasteful number, since it uses less digits than its factorization.

83811016959193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43377.

The product of its (nonzero) digits is 12597120, while the sum is 64.

The spelling of 83811016959193 in words is "eighty-three trillion, eight hundred eleven billion, sixteen million, nine hundred fifty-nine thousand, one hundred ninety-three".

Divisors: 1 17 19 323 641 10897 12179 14207 28493 207043 241519 269933 484381 541367 4588861 9106687 9203239 18264013 154813679 173027053 310488221 347016247 404800051 2941459901 5899276199 6881600867 7691200969 130750416473 259476832691 4411106155747 4930059821129 83811016959193