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3813801004167 = 371141402681977
BaseRepresentation
bin110111011111111000010…
…000010000110010000111
3111111121002100102200001020
4313133320100100302013
5444441131024113132
612040011435202223
7542352354441630
oct67377020206207
914447070380036
103813801004167
111240473272140
125171822a6373
13218841ac321b
14d2836134887
156931445c52c
hex377f8410c87

3813801004167 has 32 divisors (see below), whose sum is σ = 6494454941184. Its totient is φ = 1932873484800.

The previous prime is 3813801004159. The next prime is 3813801004213. The reversal of 3813801004167 is 7614001083183.

3813801004167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3813801004167 - 23 = 3813801004159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813801004067) 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, 201331518 + ... + 201350459.

It is an arithmetic number, because the mean of its divisors is an integer number (202951716912).

Almost surely, 23813801004167 is an apocalyptic number.

3813801004167 is a deficient number, since it is larger than the sum of its proper divisors (2680653937017).

3813801004167 is a wasteful number, since it uses less digits than its factorization.

3813801004167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402682039.

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 3813801004167 in words is "three trillion, eight hundred thirteen billion, eight hundred one million, four thousand, one hundred sixty-seven".

Divisors: 1 3 7 11 21 33 41 77 123 231 287 451 861 1353 3157 9471 402681977 1208045931 2818773839 4429501747 8456321517 13288505241 16509961057 31006512229 49529883171 93019536687 115569727399 181609571627 346709182197 544828714881 1271267001389 3813801004167