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13353120432 = 2433197915619
BaseRepresentation
bin11000110111110100…
…00111001010110000
31021110121020210122000
430123322013022300
5204321344323212
610045003414000
7651621436161
oct143372071260
937417223560
1013353120432
115732541023
122707b24300
13134a5ab2c2
14909609768
155324551dc
hex31be872b0

13353120432 has 80 divisors (see below), whose sum is σ = 38350224000. Its totient is φ = 4448506176.

The previous prime is 13353120421. The next prime is 13353120437. The reversal of 13353120432 is 23402135331.

13353120432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13353120396 and 13353120405.

It is not an unprimeable number, because it can be changed into a prime (13353120437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847119 + ... + 862737.

It is an arithmetic number, because the mean of its divisors is an integer number (479377800).

Almost surely, 213353120432 is an apocalyptic number.

13353120432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13353120432 is an abundant number, since it is smaller than the sum of its proper divisors (24997103568).

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

13353120432 is a wasteful number, since it uses less digits than its factorization.

13353120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17615 (or 17603 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13353120432 its reverse (23402135331), we get a palindrome (36755255763).

The spelling of 13353120432 in words is "thirteen billion, three hundred fifty-three million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1979 3958 5937 7916 11874 15619 15832 17811 23748 31238 31664 35622 46857 47496 53433 62476 71244 93714 94992 106866 124952 140571 142488 187428 213732 249904 281142 284976 374856 421713 427464 562284 749712 843426 854928 1124568 1686852 2249136 3373704 6747408 30910001 61820002 92730003 123640004 185460006 247280008 278190009 370920012 494560016 556380018 741840024 834570027 1112760036 1483680048 1669140054 2225520072 3338280108 4451040144 6676560216 13353120432