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32335322445132 = 22377116193348827
BaseRepresentation
bin1110101101000101001110…
…11010000111010101001100
311020111020010012212202200220
413112202213122013111030
513214240220021221012
6152434350403551340
76545102301554340
oct726424732072514
9136436105782626
1032335322445132
11a3373735a3a53
12376297608b550
131507291782015
147db076221620
153b11b148a08c
hex1d68a768754c

32335322445132 has 96 divisors (see below), whose sum is σ = 87496034734080. Its totient is φ = 9102912786240.

The previous prime is 32335322445103. The next prime is 32335322445191. The reversal of 32335322445132 is 23154422353323.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7981303 + ... + 11330129.

It is an arithmetic number, because the mean of its divisors is an integer number (911417028480).

Almost surely, 232335322445132 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 32335322445132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43748017367040).

32335322445132 is an abundant number, since it is smaller than the sum of its proper divisors (55160712288948).

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

32335322445132 is a wasteful number, since it uses less digits than its factorization.

32335322445132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350531 (or 3350529 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 42.

Adding to 32335322445132 its reverse (23154422353323), we get a palindrome (55489744798455).

The spelling of 32335322445132 in words is "thirty-two trillion, three hundred thirty-five billion, three hundred twenty-two million, four hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1619 1988 2982 3238 4857 5964 6476 9714 11333 19428 22666 33999 45332 67998 114949 135996 229898 344847 459796 689694 804643 1379388 1609286 2413929 3218572 3348827 4827858 6697654 9655716 10046481 13395308 20092962 23441789 40185924 46883578 70325367 93767156 140650734 237766717 281301468 475533434 713300151 951066868 1426600302 1664367019 2853200604 3328734038 4993101057 5421750913 6657468076 9986202114 10843501826 16265252739 19972404228 21687003652 32530505478 37952256391 65061010956 75904512782 113856769173 151809025564 227713538346 384944314823 455427076692 769888629646 1154832944469 1539777259292 2309665888938 2694610203761 4619331777876 5389220407522 8083830611283 10778440815044 16167661222566 32335322445132