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1838192919201 = 32511339945953
BaseRepresentation
bin11010101111111100110…
…101100000001010100001
320111201200211021111010200
4122233330311200022201
5220104104341403301
63524242033415413
7246543064003512
oct32577465401241
96451624244120
101838192919201
11649633a88121
1225830710a569
13104457ac8792
1464d7cd7ca09
1532c37a88c86
hex1abfcd602a1

1838192919201 has 12 divisors (see below), whose sum is σ = 2655686913828. Its totient is φ = 1225222239744.

The previous prime is 1838192919197. The next prime is 1838192919217. The reversal of 1838192919201 is 1029192918381.

It is a happy number.

1838192919201 is a `hidden beast` number, since 1 + 8 + 381 + 92 + 91 + 92 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214609827600 + 1623583091601 = 463260^2 + 1274199^2 .

It is not a de Polignac number, because 1838192919201 - 22 = 1838192919197 is a prime.

It is a super-2 number, since 2×18381929192012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1838192917201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19926960 + ... + 20018993.

It is an arithmetic number, because the mean of its divisors is an integer number (221307242819).

Almost surely, 21838192919201 is an apocalyptic number.

It is an amenable number.

1838192919201 is a deficient number, since it is larger than the sum of its proper divisors (817493994627).

1838192919201 is a wasteful number, since it uses less digits than its factorization.

1838192919201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39951072 (or 39951069 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 1838192919201 in words is "one trillion, eight hundred thirty-eight billion, one hundred ninety-two million, nine hundred nineteen thousand, two hundred one".

Divisors: 1 3 9 5113 15339 46017 39945953 119837859 359513577 204243657689 612730973067 1838192919201