Search a number
-
+
10300594824 = 2333134778049
BaseRepresentation
bin10011001011111011…
…01001101010001000
3222120212101102201000
421211331221222020
5132043423013244
64422041255000
7513154416462
oct114575515210
928525342630
1010300594824
114406465393
121bb5794460
13c82065c30
146da04d132
15404488169
hex265f69a88

10300594824 has 128 divisors (see below), whose sum is σ = 31469760000. Its totient is φ = 3101939712.

The previous prime is 10300594823. The next prime is 10300594853. The reversal of 10300594824 is 42849500301.

10300594824 is a `hidden beast` number, since 10 + 30 + 0 + 594 + 8 + 24 = 666.

10300594824 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 2×103005948242 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10300594823) 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 31 ways as a sum of consecutive naturals, for example, 92952 + ... + 171000.

It is an arithmetic number, because the mean of its divisors is an integer number (245857500).

Almost surely, 210300594824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300594824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15734880000).

10300594824 is an abundant number, since it is smaller than the sum of its proper divisors (21169165176).

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

10300594824 is a wasteful number, since it uses less digits than its factorization.

10300594824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78124 (or 78114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10300594824 in words is "ten billion, three hundred million, five hundred ninety-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 846 936 1128 1222 1269 1404 1692 1833 2444 2538 2808 3384 3666 4888 5076 5499 7332 10152 10998 14664 16497 21996 32994 43992 65988 78049 131976 156098 234147 312196 468294 624392 702441 936588 1014637 1404882 1873176 2029274 2107323 2809764 3043911 3668303 4058548 4214646 5619528 6087822 7336606 8117096 8429292 9131733 11004909 12175644 14673212 16858584 18263466 22009818 24351288 27395199 29346424 33014727 36526932 44019636 47687939 54790398 66029454 73053864 88039272 95375878 99044181 109580796 132058908 143063817 190751756 198088362 219161592 264117816 286127634 381503512 396176724 429191451 572255268 792353448 858382902 1144510536 1287574353 1716765804 2575148706 3433531608 5150297412 10300594824