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13341354972 = 22311219734657
BaseRepresentation
bin11000110110011010…
…01110101111011100
31021102210010001110020
430123031032233130
5204310341324342
610043503312140
7651416434431
oct143315165734
937383101406
1013341354972
115726935500
122703bab650
13134801bcaa
14907c25b88
155313ce0ec
hex31b34ebdc

13341354972 has 72 divisors (see below), whose sum is σ = 34241777808. Its totient is φ = 4039918080.

The previous prime is 13341354947. The next prime is 13341354977. The reversal of 13341354972 is 27945314331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341354977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2862468 + ... + 2867124.

Almost surely, 213341354972 is an apocalyptic number.

13341354972 is a gapful number since it is divisible by the number (12) 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 13341354972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17120888904).

13341354972 is an abundant number, since it is smaller than the sum of its proper divisors (20900422836).

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

13341354972 is a wasteful number, since it uses less digits than its factorization.

13341354972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6646 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The spelling of 13341354972 in words is "thirteen billion, three hundred forty-one million, three hundred fifty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 1973 3946 4657 5919 7892 9314 11838 13971 18628 21703 23676 27942 43406 51227 55884 65109 86812 102454 130218 153681 204908 238733 260436 307362 477466 563497 614724 716199 954932 1126994 1432398 1690491 2253988 2864796 3380982 6761964 9188261 18376522 27564783 36753044 55129566 101070871 110259132 202141742 303212613 404283484 606425226 1111779581 1212850452 2223559162 3335338743 4447118324 6670677486 13341354972