Search a number
-
+
10364763312 = 243271977523
BaseRepresentation
bin10011010011100100…
…11011110010110000
3222202100010112022200
421221302123302300
5132211334411222
64432252503200
7514564014561
oct115162336260
928670115280
1010364763312
1144397030a2
12201317ab00
13c92442357
14704794168
15409e10eac
hex269c9bcb0

10364763312 has 30 divisors (see below), whose sum is σ = 29006942172. Its totient is φ = 3454921056.

The previous prime is 10364763281. The next prime is 10364763373. The reversal of 10364763312 is 21336746301.

10364763312 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 7 + 633 + 12 = 666.

10364763312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 5 ways as a sum of consecutive naturals, for example, 35988618 + ... + 35988905.

Almost surely, 210364763312 is an apocalyptic number.

10364763312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10364763312 is an abundant number, since it is smaller than the sum of its proper divisors (18642178860).

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

10364763312 is a wasteful number, since it uses less digits than its factorization.

10364763312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71977537 (or 71977528 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10364763312 in words is "ten billion, three hundred sixty-four million, seven hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 71977523 143955046 215932569 287910092 431865138 575820184 647797707 863730276 1151640368 1295595414 1727460552 2591190828 3454921104 5182381656 10364763312