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10852824860 = 2252930676101
BaseRepresentation
bin10100001101110000…
…01111011100011100
31001000100111121220022
422012320033130130
5134211310343420
64552525411312
7532641326543
oct120670173434
931010447808
1010852824860
11466a155a49
12212a709b38
13103c5a7477
1474d51d15a
15437bbbc25
hex286e0f71c

10852824860 has 48 divisors (see below), whose sum is σ = 23588379360. Its totient is φ = 4189382400.

The previous prime is 10852824841. The next prime is 10852824869. The reversal of 10852824860 is 6842825801.

10852824860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10852824869) 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 15 ways as a sum of consecutive naturals, for example, 1775810 + ... + 1781910.

It is an arithmetic number, because the mean of its divisors is an integer number (491424570).

Almost surely, 210852824860 is an apocalyptic number.

10852824860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10852824860 is an abundant number, since it is smaller than the sum of its proper divisors (12735554500).

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

10852824860 is a wasteful number, since it uses less digits than its factorization.

10852824860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9206 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 10852824860 in words is "ten billion, eight hundred fifty-two million, eight hundred twenty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3067 6101 6134 12202 12268 15335 24404 30505 30670 61010 61340 88943 122020 176929 177886 353858 355772 444715 707716 884645 889430 1769290 1778860 3538580 18711767 37423534 74847068 93558835 187117670 374235340 542641243 1085282486 2170564972 2713206215 5426412430 10852824860