Base | Representation |
---|---|
bin | 100001111001101010… |
… | …010011010000000000 |
3 | 10110221211122210212012 |
4 | 201321222103100000 |
5 | 1044022110323100 |
6 | 24420004552052 |
7 | 2426022202406 |
oct | 417152232000 |
9 | 113854583765 |
10 | 36400870400 |
11 | 1448a384774 |
12 | 707a6b2628 |
13 | 358151868b |
14 | 1a945a7476 |
15 | e30a48135 |
hex | 879a93400 |
36400870400 has 66 divisors (see below), whose sum is σ = 90230142870. Its totient is φ = 14560337920.
The previous prime is 36400870399. The next prime is 36400870409. The reversal of 36400870400 is 407800463.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 7993790464 + 28407079936 = 89408^2 + 168544^2 .
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (36400870409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 685355 + ... + 736554.
Almost surely, 236400870400 is an apocalyptic number.
It is an amenable number.
36400870400 is an abundant number, since it is smaller than the sum of its proper divisors (53829272470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36400870400 is a wasteful number, since it uses less digits than its factorization.
36400870400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1421939 (or 1421916 counting only the distinct ones).
The product of its (nonzero) digits is 16128, while the sum is 32.
The spelling of 36400870400 in words is "thirty-six billion, four hundred million, eight hundred seventy thousand, four hundred".
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