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4136004012 = 2237291697867
BaseRepresentation
bin1111011010000110…
…0110100110101100
3101200020121202212210
43312201212212230
531432304112022
61522224530420
7204331311510
oct36641464654
911606552783
104136004012
111832737038
12975180a10
1350bb5cc6a
142b3438140
1519318ca0c
hexf68669ac

4136004012 has 48 divisors (see below), whose sum is σ = 11409672960. Its totient is φ = 1140965952.

The previous prime is 4136003987. The next prime is 4136004023. The reversal of 4136004012 is 2104006314.

It is a super-2 number, since 2×41360040122 = 34213058374560192288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4136004012.

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 15 ways as a sum of consecutive naturals, for example, 846498 + ... + 851369.

It is an arithmetic number, because the mean of its divisors is an integer number (237701520).

Almost surely, 24136004012 is an apocalyptic number.

4136004012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4136004012 is an abundant number, since it is smaller than the sum of its proper divisors (7273668948).

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

4136004012 is a wasteful number, since it uses less digits than its factorization.

4136004012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697910 (or 1697908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4136004012 is about 64311.7719550628. The cubic root of 4136004012 is about 1605.1919895332.

The spelling of 4136004012 in words is "four billion, one hundred thirty-six million, four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 1697867 3395734 5093601 6791468 10187202 11885069 20374404 23770138 35655207 47540276 49238143 71310414 98476286 142620828 147714429 196952572 295428858 344667001 590857716 689334002 1034001003 1378668004 2068002006 4136004012