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83801268941 = 13291511472083
BaseRepresentation
bin100111000001011110…
…0011110001011001101
322000022020212112200112
41032002330132023031
52333111111101231
6102255304005405
76024450014225
oct1160274361315
9260266775615
1083801268941
11325a36a4765
12142a8a60865
137b96824990
1440ad95b085
1522a708a92b
hex1382f1e2cd

83801268941 has 16 divisors (see below), whose sum is σ = 93977842560. Its totient is φ = 74192932800.

The previous prime is 83801268911. The next prime is 83801268977. The reversal of 83801268941 is 14986210838.

It is a cyclic number.

It is not a de Polignac number, because 83801268941 - 226 = 83734160077 is a prime.

It is a super-2 number, since 2×838012689412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83801268941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83801268911) 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 15 ways as a sum of consecutive naturals, for example, 679115 + ... + 792968.

It is an arithmetic number, because the mean of its divisors is an integer number (5873615160).

Almost surely, 283801268941 is an apocalyptic number.

It is an amenable number.

83801268941 is a deficient number, since it is larger than the sum of its proper divisors (10176573619).

83801268941 is a wasteful number, since it uses less digits than its factorization.

83801268941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472276.

The product of its (nonzero) digits is 663552, while the sum is 50.

The spelling of 83801268941 in words is "eighty-three billion, eight hundred one million, two hundred sixty-eight thousand, nine hundred forty-one".

Divisors: 1 13 29 151 377 1963 4379 56927 1472083 19137079 42690407 222284533 554975291 2889698929 6446251457 83801268941