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10182464796 = 2237228196143
BaseRepresentation
bin10010111101110110…
…00001010100011100
3222021122002210202210
421132323001110130
5131323202333141
64402221320420
7510221344200
oct113673012434
928248083683
1010182464796
114355810569
121b82106110
13c637451ca
146c849cb00
153e8e01916
hex25eec151c

10182464796 has 72 divisors (see below), whose sum is σ = 27652423680. Its totient is φ = 2907770208.

The previous prime is 10182464777. The next prime is 10182464837. The reversal of 10182464796 is 69746428101.

10182464796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1654501 + ... + 1660643.

It is an arithmetic number, because the mean of its divisors is an integer number (384061440).

Almost surely, 210182464796 is an apocalyptic number.

It is an amenable number.

10182464796 is an abundant number, since it is smaller than the sum of its proper divisors (17469958884).

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

10182464796 is a wasteful number, since it uses less digits than its factorization.

10182464796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 10182464796 in words is "ten billion, one hundred eighty-two million, four hundred sixty-four thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2819 5638 6143 8457 11276 12286 16914 18429 19733 24572 33828 36858 39466 43001 59199 73716 78932 86002 118398 129003 138131 172004 236796 258006 276262 301007 414393 516012 552524 602014 828786 903021 1204028 1657572 1806042 3612084 17317117 34634234 51951351 69268468 103902702 121219819 207805404 242439638 363659457 484879276 727318914 848538733 1454637828 1697077466 2545616199 3394154932 5091232398 10182464796