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10245893284 = 221124321072
BaseRepresentation
bin10011000101011001…
…11110110010100100
3222110001110022022001
421202230332302210
5131440422041114
64412405015044
7511621440664
oct114254766244
928401408261
1010245893284
1143885a3300
121b9b3b4484
13c73922863
146d2a901a4
153ee780374
hex262b3eca4

10245893284 has 81 divisors (see below), whose sum is σ = 20367860331. Its totient is φ = 4506403440.

The previous prime is 10245893269. The next prime is 10245893291. The reversal of 10245893284 is 48239854201.

The square root of 10245893284 is 101222.

It is a perfect power (a square), and thus also a powerful number.

10245893284 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-4 number, since 4×102458932844 (a number of 41 digits) contains 4444 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 95755959 + ... + 95756065.

Almost surely, 210245893284 is an apocalyptic number.

10245893284 is the 101222-nd square number.

It is an amenable number.

10245893284 is a deficient number, since it is larger than the sum of its proper divisors (10121967047).

10245893284 is a wasteful number, since it uses less digits than its factorization.

10245893284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 10245893284 in words is "ten billion, two hundred forty-five million, eight hundred ninety-three thousand, two hundred eighty-four".

Divisors: 1 2 4 11 22 43 44 86 107 121 172 214 242 428 473 484 946 1177 1849 1892 2354 3698 4601 4708 5203 7396 9202 10406 11449 12947 18404 20339 20812 22898 25894 40678 45796 50611 51788 81356 101222 125939 197843 202444 223729 251878 395686 447458 492307 503756 556721 791372 894916 984614 1113442 1385329 1969228 2176273 2226884 2770658 4352546 5415377 5541316 8705092 10830754 21169201 21661508 23939003 42338402 47878006 59569147 84676804 95756012 119138294 232861211 238276588 465722422 931444844 2561473321 5122946642 10245893284