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10975938204 = 22371147924799
BaseRepresentation
bin10100011100011011…
…11000011010011100
31001022221011102122210
422032031320122130
5134434320010304
65013044240420
7535664635560
oct121615703234
931287142583
1010975938204
1147226a3910
1221639a0110
13105bc514ba
14761a096a0
154438d9c89
hex28e37869c

10975938204 has 96 divisors (see below), whose sum is σ = 31997952000. Its totient is φ = 2844826560.

The previous prime is 10975938199. The next prime is 10975938257. The reversal of 10975938204 is 40283957901.

10975938204 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 31 ways as a sum of consecutive naturals, for example, 430197 + ... + 454995.

It is an arithmetic number, because the mean of its divisors is an integer number (333312000).

Almost surely, 210975938204 is an apocalyptic number.

10975938204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10975938204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15998976000).

10975938204 is an abundant number, since it is smaller than the sum of its proper divisors (21022013796).

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

10975938204 is a wasteful number, since it uses less digits than its factorization.

10975938204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25303 (or 25301 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 10975938204 in words is "ten billion, nine hundred seventy-five million, nine hundred thirty-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 479 924 958 1437 1916 2874 3353 5269 5748 6706 10059 10538 13412 15807 20118 21076 24799 31614 36883 40236 49598 63228 73766 74397 99196 110649 147532 148794 173593 221298 272789 297588 347186 442596 520779 545578 694372 818367 1041558 1091156 1636734 1909523 2083116 3273468 3819046 5728569 7638092 11457138 11878721 22914276 23757442 35636163 47514884 71272326 83151047 130665931 142544652 166302094 249453141 261331862 332604188 391997793 498906282 522663724 783995586 914661517 997812564 1567991172 1829323034 2743984551 3658646068 5487969102 10975938204