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1135495171404 = 22321117247379557
BaseRepresentation
bin10000100001100000110…
…010010100110101001100
311000112220121111022010200
4100201200302110311030
5122100443230441104
62225350030133500
7145015425464166
oct20414062246514
94015817438120
101135495171404
113a86194706a0
12164097051290
13830cc783289
143cd5b66d936
151e80bc43b39
hex10860c94d4c

1135495171404 has 432 divisors, whose sum is σ = 3412086612480. Its totient is φ = 315554641920.

The previous prime is 1135495171403. The next prime is 1135495171409. The reversal of 1135495171404 is 4041715945311.

1135495171404 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 495 + 17 + 140 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1135495171404.

It is not an unprimeable number, because it can be changed into a prime (1135495171403) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2038590694 + ... + 2038591250.

It is an arithmetic number, because the mean of its divisors is an integer number (7898348640).

Almost surely, 21135495171404 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 1135495171404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706043306240).

1135495171404 is an abundant number, since it is smaller than the sum of its proper divisors (2276591441076).

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

1135495171404 is a wasteful number, since it uses less digits than its factorization.

1135495171404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1135495171404 in words is "one trillion, one hundred thirty-five billion, four hundred ninety-five million, one hundred seventy-one thousand, four hundred four".