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13305771472 = 247714673583
BaseRepresentation
bin11000110010001010…
…11111010111010000
31021100022011020001211
430121011133113100
5204222234141342
610040152505504
7650505122440
oct143105372720
937308136054
1013305771472
115708841054
1226b40ab294
131340840776
14903202120
1552d200c17
hex31915f5d0

13305771472 has 80 divisors (see below), whose sum is σ = 29950083072. Its totient is φ = 5608552320.

The previous prime is 13305771443. The next prime is 13305771511. The reversal of 13305771472 is 27417750331.

13305771472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3711793 + ... + 3715375.

Almost surely, 213305771472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13305771472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14975041536).

13305771472 is an abundant number, since it is smaller than the sum of its proper divisors (16644311600).

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

13305771472 is a wasteful number, since it uses less digits than its factorization.

13305771472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 13305771472 in words is "thirteen billion, three hundred five million, seven hundred seventy-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 467 497 568 934 994 1136 1868 1988 3269 3583 3736 3976 6538 7166 7472 7952 13076 14332 25081 26152 28664 33157 50162 52304 57328 66314 100324 132628 200648 232099 254393 265256 401296 464198 508786 530512 928396 1017572 1673261 1780751 1856792 2035144 3346522 3561502 3713584 4070288 6693044 7123004 11712827 13386088 14246008 23425654 26772176 28492016 46851308 93702616 118801531 187405232 237603062 475206124 831610717 950412248 1663221434 1900824496 3326442868 6652885736 13305771472