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10864856820 = 2235181080947
BaseRepresentation
bin10100001111001100…
…01000111011110100
31001001012010220122110
422013212020323310
5134222400404240
64554035331020
7533145521256
oct120746107364
931035126573
1010864856820
114675a23814
122132750a70
131041c2ab7c
14750d71cd6
15438c96c80
hex287988ef4

10864856820 has 24 divisors (see below), whose sum is σ = 30421599264. Its totient is φ = 2897295136.

The previous prime is 10864856803. The next prime is 10864856833. The reversal of 10864856820 is 2865846801.

It is a happy number.

10864856820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108648568202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10864856820.

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 7 ways as a sum of consecutive naturals, for example, 90540414 + ... + 90540533.

It is an arithmetic number, because the mean of its divisors is an integer number (1267566636).

Almost surely, 210864856820 is an apocalyptic number.

10864856820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10864856820 is an abundant number, since it is smaller than the sum of its proper divisors (19556742444).

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

10864856820 is a wasteful number, since it uses less digits than its factorization.

10864856820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181080959 (or 181080957 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 10864856820 in words is "ten billion, eight hundred sixty-four million, eight hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181080947 362161894 543242841 724323788 905404735 1086485682 1810809470 2172971364 2716214205 3621618940 5432428410 10864856820