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32320500401 = 72659602049
BaseRepresentation
bin11110000110011100…
…111011001010110001
310002102110201112111102
4132012130323022301
51012143022003101
622503044254145
72222634502100
oct360634731261
9102373645442
1032320500401
1112786097362
1263200a1355
133081067367
1417c86d2037
15c926e986b
hex78673b2b1

32320500401 has 6 divisors (see below), whose sum is σ = 37597316850. Its totient is φ = 27703286016.

The previous prime is 32320500361. The next prime is 32320500431. The reversal of 32320500401 is 10400502323.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30275652001 + 2044848400 = 173999^2 + 45220^2 .

It is not a de Polignac number, because 32320500401 - 214 = 32320484017 is a prime.

It is a super-2 number, since 2×323205004012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32320500431) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 329800976 + ... + 329801073.

It is an arithmetic number, because the mean of its divisors is an integer number (6266219475).

Almost surely, 232320500401 is an apocalyptic number.

It is an amenable number.

32320500401 is a deficient number, since it is larger than the sum of its proper divisors (5276816449).

32320500401 is an equidigital number, since it uses as much as digits as its factorization.

32320500401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659602063 (or 659602056 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The spelling of 32320500401 in words is "thirty-two billion, three hundred twenty million, five hundred thousand, four hundred one".

Divisors: 1 7 49 659602049 4617214343 32320500401