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10277872852 = 22131711626553
BaseRepresentation
bin10011001001001101…
…11110010011010100
3222112021122001000111
421210212332103110
5132022113412402
64415510252404
7512460322612
oct114446762324
928467561014
1010277872852
1143a4655aa5
121baa057104
13c7a43b890
146d70166b2
1540249a9d7
hex2649be4d4

10277872852 has 24 divisors (see below), whose sum is σ = 20509241256. Its totient is φ = 4464595968.

The previous prime is 10277872841. The next prime is 10277872853. The reversal of 10277872852 is 25827877201.

It is a happy number.

10277872852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1931954116 + 8345918736 = 43954^2 + 91356^2 .

It is a super-2 number, since 2×102778728522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10277872796 and 10277872805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10277872853) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5812393 + ... + 5814160.

It is an arithmetic number, because the mean of its divisors is an integer number (854551719).

Almost surely, 210277872852 is an apocalyptic number.

It is an amenable number.

10277872852 is a deficient number, since it is larger than the sum of its proper divisors (10231368404).

10277872852 is a wasteful number, since it uses less digits than its factorization.

10277872852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11626587 (or 11626585 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 49.

The spelling of 10277872852 in words is "ten billion, two hundred seventy-seven million, eight hundred seventy-two thousand, eight hundred fifty-two".

Divisors: 1 2 4 13 17 26 34 52 68 221 442 884 11626553 23253106 46506212 151145189 197651401 302290378 395302802 604580756 790605604 2569468213 5138936426 10277872852