Search a number
-
+
32354505121013 = 1724783109726161
BaseRepresentation
bin1110101101101000111101…
…10010001101110011110101
311020120001122002110200000222
413112310132302031303311
513220044011302333023
6152451242055144125
76546351540612155
oct726643662156365
9136501562420028
1032354505121013
11a34451772a299
12376662a375045
13150902aa1c5ca
147dbd75b4c765
153b19355aacc8
hex1d6d1ec8dcf5

32354505121013 has 48 divisors (see below), whose sum is σ = 35557578733824. Its totient is φ = 29416356618240.

The previous prime is 32354505121009. The next prime is 32354505121027. The reversal of 32354505121013 is 31012150545323.

It is a happy number.

It is not a de Polignac number, because 32354505121013 - 22 = 32354505121009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32354505121063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236732653 + ... + 1236758813.

It is an arithmetic number, because the mean of its divisors is an integer number (740782890288).

Almost surely, 232354505121013 is an apocalyptic number.

It is an amenable number.

32354505121013 is a deficient number, since it is larger than the sum of its proper divisors (3203073612811).

32354505121013 is a wasteful number, since it uses less digits than its factorization.

32354505121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422 (or 27405 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 32354505121013 its reverse (31012150545323), we get a palindrome (63366655666336).

The spelling of 32354505121013 in words is "thirty-two trillion, three hundred fifty-four billion, five hundred five million, one hundred twenty-one thousand, thirteen".

Divisors: 1 17 47 83 289 799 1097 1411 3901 13583 18649 23987 26161 51559 66317 91051 317033 444737 876503 1127389 1229567 1547867 2171363 4279397 7560529 14900551 20902639 26313739 28698617 36913171 72749749 102054061 355344863 487876489 627523907 1236745733 1348834999 1734919037 2381985211 8293900313 22930194983 29493623629 40493748587 111953304917 389813314711 688393725979 1903206183589 32354505121013