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11064721356 = 22321327923021
BaseRepresentation
bin10100100111000001…
…00011111111001100
31001120010020002020200
422103200203333030
5140130032040411
65025535213500
7541123402563
oct122340437714
931503202220
1011064721356
114768823a17
122189677290
131074468600
1476d71abda
1544b5c5e56
hex293823fcc

11064721356 has 108 divisors (see below), whose sum is σ = 30670829280. Its totient is φ = 3361288320.

The previous prime is 11064721301. The next prime is 11064721391. The reversal of 11064721356 is 65312746011.

11064721356 is a `hidden beast` number, since 1 + 1 + 0 + 647 + 2 + 1 + 3 + 5 + 6 = 666.

11064721356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11064721356.

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 35 ways as a sum of consecutive naturals, for example, 469126 + ... + 492146.

It is an arithmetic number, because the mean of its divisors is an integer number (283989160).

Almost surely, 211064721356 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 11064721356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15335414640).

11064721356 is an abundant number, since it is smaller than the sum of its proper divisors (19606107924).

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

11064721356 is a wasteful number, since it uses less digits than its factorization.

11064721356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23136 (or 23118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11064721356 in words is "eleven billion, sixty-four million, seven hundred twenty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 117 156 158 169 234 237 316 338 468 474 507 676 711 948 1014 1027 1422 1521 2028 2054 2844 3042 3081 4108 6084 6162 9243 12324 13351 18486 23021 26702 36972 40053 46042 53404 69063 80106 92084 120159 138126 160212 207189 240318 276252 299273 414378 480636 598546 828756 897819 1197092 1795638 1818659 2693457 3591276 3637318 3890549 5386914 5455977 7274636 7781098 10773828 10911954 11671647 15562196 16367931 21823908 23343294 23642567 32735862 35014941 46686588 47285134 65471724 70029882 70927701 94570268 140059764 141855402 212783103 283710804 307353371 425566206 614706742 851132412 922060113 1229413484 1844120226 2766180339 3688240452 5532360678 11064721356