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32133042312 = 2337316918929
BaseRepresentation
bin11101111011010001…
…110101000010001000
310001221101222200100020
4131323101311002020
51011302024323222
622432310340440
72215200232050
oct357321650210
9101841880306
1032133042312
111269a2a0318
12628935a720
133051281907
1417ab856560
15c8101b65c
hex77b475088

32133042312 has 128 divisors (see below), whose sum is σ = 94918041600. Its totient is φ = 8870860800.

The previous prime is 32133042283. The next prime is 32133042323. The reversal of 32133042312 is 21324033123.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3594264 + ... + 3603192.

It is an arithmetic number, because the mean of its divisors is an integer number (741547200).

Almost surely, 232133042312 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 32133042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47459020800).

32133042312 is an abundant number, since it is smaller than the sum of its proper divisors (62784999288).

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

32133042312 is a wasteful number, since it uses less digits than its factorization.

32133042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9667 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32133042312 its reverse (21324033123), we get a palindrome (53457075435).

The spelling of 32133042312 in words is "thirty-two billion, one hundred thirty-three million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 691 744 868 1302 1382 1736 2073 2604 2764 4146 4837 5208 5528 8292 8929 9674 14511 16584 17858 19348 21421 26787 29022 35716 38696 42842 53574 58044 62503 64263 71432 85684 107148 116088 125006 128526 149947 171368 187509 214296 250012 257052 276799 299894 375018 449841 500024 514104 553598 599788 750036 830397 899682 1107196 1199576 1500072 1660794 1799364 1937593 2214392 3321588 3598728 3875186 5812779 6169939 6643176 7750372 11625558 12339878 15500744 18509817 23251116 24679756 37019634 43189573 46502232 49359512 74039268 86379146 129568719 148078536 172758292 191268109 259137438 345516584 382536218 518274876 573804327 765072436 1036549752 1147608654 1338876763 1530144872 2295217308 2677753526 4016630289 4590434616 5355507052 8033260578 10711014104 16066521156 32133042312