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11339503032 = 23311139533467
BaseRepresentation
bin10101000111110001…
…10001010110111000
31002021021021102211210
422203320301112320
5141210403044112
65113112523120
7551001120414
oct124370612670
932237242753
1011339503032
114899943510
1222456b04a0
1310b9376a10
14798007d44
154657a2b3c
hex2a3e315b8

11339503032 has 128 divisors (see below), whose sum is σ = 33349397760. Its totient is φ = 3167646720.

The previous prime is 11339503009. The next prime is 11339503037. The reversal of 11339503032 is 23030593311.

11339503032 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 not an unprimeable number, because it can be changed into a prime (11339503037) 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, 3268963 + ... + 3272429.

It is an arithmetic number, because the mean of its divisors is an integer number (260542170).

Almost surely, 211339503032 is an apocalyptic number.

11339503032 is a gapful number since it is divisible by the number (12) 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 11339503032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16674698880).

11339503032 is an abundant number, since it is smaller than the sum of its proper divisors (22009894728).

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

11339503032 is a wasteful number, since it uses less digits than its factorization.

11339503032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The spelling of 11339503032 in words is "eleven billion, three hundred thirty-nine million, five hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 953 1144 1716 1906 2859 3432 3467 3812 5718 6934 7624 10401 10483 11436 12389 13868 20802 20966 22872 24778 27736 31449 37167 38137 41604 41932 45071 49556 62898 74334 76274 83208 83864 90142 99112 114411 125796 135213 136279 148668 152548 180284 228822 251592 270426 272558 297336 305096 360568 408837 457644 495781 540852 545116 817674 915288 991562 1081704 1090232 1487343 1635348 1983124 2974686 3270696 3304051 3966248 5949372 6608102 9912153 11898744 13216204 19824306 26432408 36344561 39648612 42952663 72689122 79297224 85905326 109033683 128857989 145378244 171810652 218067366 257715978 290756488 343621304 436134732 472479293 515431956 872269464 944958586 1030863912 1417437879 1889917172 2834875758 3779834344 5669751516 11339503032