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2054235636 = 223270181401
BaseRepresentation
bin111101001110001…
…0010010111110100
312022011101222112100
41322130102113310
513201341020021
6535501222100
7101622500115
oct17234222764
95264358470
102054235636
11964620702
12493b61930
1326978665b
14156b7620c
15c0527626
hex7a7125f4

2054235636 has 36 divisors (see below), whose sum is σ = 5200122564. Its totient is φ = 683760000.

The previous prime is 2054235527. The next prime is 2054235649. The reversal of 2054235636 is 6365324502.

2054235636 is a `hidden beast` number, since 20 + 54 + 23 + 563 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1649984400 + 404251236 = 40620^2 + 20106^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2054235636.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15465 + ... + 65936.

It is an arithmetic number, because the mean of its divisors is an integer number (144447849).

Almost surely, 22054235636 is an apocalyptic number.

It is an amenable number.

2054235636 is an abundant number, since it is smaller than the sum of its proper divisors (3145886928).

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

2054235636 is a wasteful number, since it uses less digits than its factorization.

2054235636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82112 (or 82107 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2054235636 is about 45323.6763292653. The cubic root of 2054235636 is about 1271.2083970455.

The spelling of 2054235636 in words is "two billion, fifty-four million, two hundred thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 701 1402 2103 2804 4206 6309 8412 12618 25236 81401 162802 244203 325604 488406 732609 976812 1465218 2930436 57062101 114124202 171186303 228248404 342372606 513558909 684745212 1027117818 2054235636