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32325201420032 = 281930192201327
BaseRepresentation
bin1110101100110010011000…
…01001011101111100000000
311020110020222212101102100102
413112121030021131330000
513214104003030420112
6152425554215141532
76544263424351463
oct726311411357400
9136406885342312
1032325201420032
11a33304a537aa4
123760a106748a8
13150633a99c181
147da795d972da
153b0cbcb72bc2
hex1d664c25df00

32325201420032 has 72 divisors (see below), whose sum is σ = 67942667923200. Its totient is φ = 15306858703872.

The previous prime is 32325201419971. The next prime is 32325201420077. The reversal of 32325201420032 is 23002410252323.

It is a junction number, because it is equal to n+sod(n) for n = 32325201419977 and 32325201420004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13583753 + ... + 15785079.

It is an arithmetic number, because the mean of its divisors is an integer number (943648165600).

Almost surely, 232325201420032 is an apocalyptic number.

32325201420032 is a gapful number since it is divisible by the number (32) 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 32325201420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33971333961600).

32325201420032 is an abundant number, since it is smaller than the sum of its proper divisors (35617466503168).

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

32325201420032 is a wasteful number, since it uses less digits than its factorization.

32325201420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204381 (or 2204367 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 32325201420032 its reverse (23002410252323), we get a palindrome (55327611672355).

The spelling of 32325201420032 in words is "thirty-two trillion, three hundred twenty-five billion, two hundred one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 3019 4864 6038 12076 24152 48304 57361 96608 114722 193216 229444 386432 458888 772864 917776 1835552 2201327 3671104 4402654 7342208 8805308 14684416 17610616 35221232 41825213 70442464 83650426 140884928 167300852 281769856 334601704 563539712 669203408 1338406816 2676813632 5353627264 6645806213 10707254528 13291612426 26583224852 53166449704 106332899408 126270318047 212665798816 252540636094 425331597632 505081272188 850663195264 1010162544376 1701326390528 2020325088752 4040650177504 8081300355008 16162600710016 32325201420032