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32545334332 = 22729132130341
BaseRepresentation
bin11110010011110110…
…100110010000111100
310010000010210021200001
4132103312212100330
51013123101144312
622541235244044
72231334530440
oct362366462074
9103003707601
1032545334332
1112890aa1425
126383449624
1330b88080a4
14180a4da820
15ca730c057
hex793da643c

32545334332 has 48 divisors (see below), whose sum is σ = 67388368320. Its totient is φ = 13456396800.

The previous prime is 32545334329. The next prime is 32545334369. The reversal of 32545334332 is 23343354523.

It is a junction number, because it is equal to n+sod(n) for n = 32545334291 and 32545334300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057482 + ... + 1087822.

It is an arithmetic number, because the mean of its divisors is an integer number (1403924340).

Almost surely, 232545334332 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 32545334332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33694184160).

32545334332 is an abundant number, since it is smaller than the sum of its proper divisors (34843033988).

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

32545334332 is a wasteful number, since it uses less digits than its factorization.

32545334332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31702 (or 31700 counting only the distinct ones).

The product of its digits is 388800, while the sum is 37.

Adding to 32545334332 its reverse (23343354523), we get a palindrome (55888688855).

The spelling of 32545334332 in words is "thirty-two billion, five hundred forty-five million, three hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1321 2642 5284 9247 18494 30341 36988 38309 60682 76618 121364 153236 212387 268163 424774 536326 849548 879889 1072652 1759778 3519556 6159223 12318446 24636892 40080461 80160922 160321844 280563227 561126454 1122252908 1162333369 2324666738 4649333476 8136333583 16272667166 32545334332