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13330317460 = 22523211137341
BaseRepresentation
bin11000110101000110…
…01000000010010100
31021102000100021211111
430122203020002110
5204300030124320
610042430544404
7651223554205
oct143243100224
937360307744
1013330317460
115720686899
122700368104
131345956115
149065915ac
1553044da5a
hex31a8c8094

13330317460 has 48 divisors (see below), whose sum is σ = 29349436032. Its totient is φ = 5076086400.

The previous prime is 13330317449. The next prime is 13330317463. The reversal of 13330317460 is 6471303331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330317463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28390 + ... + 165730.

It is an arithmetic number, because the mean of its divisors is an integer number (611446584).

Almost surely, 213330317460 is an apocalyptic number.

13330317460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330317460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674718016).

13330317460 is an abundant number, since it is smaller than the sum of its proper divisors (16019118572).

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

13330317460 is a wasteful number, since it uses less digits than its factorization.

13330317460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137584 (or 137582 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

The spelling of 13330317460 in words is "thirteen billion, three hundred thirty million, three hundred seventeen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 211 230 422 460 844 1055 2110 4220 4853 9706 19412 24265 48530 97060 137341 274682 549364 686705 1373410 2746820 3158843 6317686 12635372 15794215 28978951 31588430 57957902 63176860 115915804 144894755 289789510 579579020 666515873 1333031746 2666063492 3332579365 6665158730 13330317460