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11477429334 = 2327178116607
BaseRepresentation
bin10101011000001101…
…11010110001010110
31002121212210211011100
422230012322301112
5142001210214314
65134521050530
7554264353050
oct125406726126
932555724140
1011477429334
11495a789598
122283926a46
13110bb09207
147ac46c8d0
15472949c09
hex2ac1bac56

11477429334 has 96 divisors (see below), whose sum is σ = 30133748736. Its totient is φ = 3082095360.

The previous prime is 11477429329. The next prime is 11477429377. The reversal of 11477429334 is 43392477411.

11477429334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11477429334.

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 47 ways as a sum of consecutive naturals, for example, 1733859 + ... + 1740465.

It is an arithmetic number, because the mean of its divisors is an integer number (313893216).

Almost surely, 211477429334 is an apocalyptic number.

11477429334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11477429334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066874368).

11477429334 is an abundant number, since it is smaller than the sum of its proper divisors (18656319402).

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

11477429334 is a wasteful number, since it uses less digits than its factorization.

11477429334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7447 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 11477429334 in words is "eleven billion, four hundred seventy-seven million, four hundred twenty-nine thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 811 1071 1622 2142 2433 4866 5677 6607 7299 11354 13214 13787 14598 17031 19821 27574 34062 39642 41361 46249 51093 59463 82722 92498 96509 102186 112319 118926 124083 138747 193018 224638 248166 277494 289527 336957 416241 579054 673914 786233 832482 868581 1010871 1572466 1737162 2021742 2358699 4717398 5358277 7076097 10716554 14152194 16074831 32149662 37507939 48224493 75015878 91090709 96448986 112523817 182181418 225047634 273272127 337571451 546544254 637634963 675142902 819816381 1275269926 1639632762 1912904889 3825809778 5738714667 11477429334