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13355625660 = 22351317122597
BaseRepresentation
bin11000111000000111…
…01010110010111100
31021110202222002011020
430130003222302330
5204323020010120
610045133224140
7651651642066
oct143403526274
937422862136
1013355625660
1157339a2263
122708932050
13134ac776a0
14909a9c736
1553279c640
hex31c0eacbc

13355625660 has 48 divisors (see below), whose sum is σ = 40272350496. Its totient is φ = 3287538432.

The previous prime is 13355625659. The next prime is 13355625713. The reversal of 13355625660 is 6652655331.

13355625660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×133556256603 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8560519 + ... + 8562078.

It is an arithmetic number, because the mean of its divisors is an integer number (839007302).

Almost surely, 213355625660 is an apocalyptic number.

13355625660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13355625660 is an abundant number, since it is smaller than the sum of its proper divisors (26916724836).

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

13355625660 is a wasteful number, since it uses less digits than its factorization.

13355625660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17122622 (or 17122620 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

It can be divided in two parts, 13355 and 625660, that added together give a triangular number (639015 = T1130).

The spelling of 13355625660 in words is "thirteen billion, three hundred fifty-five million, six hundred twenty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 17122597 34245194 51367791 68490388 85612985 102735582 171225970 205471164 222593761 256838955 342451940 445187522 513677910 667781283 890375044 1027355820 1112968805 1335562566 2225937610 2671125132 3338906415 4451875220 6677812830 13355625660