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13747117338 = 2343117315823
BaseRepresentation
bin11001100110110010…
…00101110100011010
31022111001121220210000
430303121011310122
5211123230223323
610152040233430
7664444366203
oct146331056432
938431556700
1013747117338
1159149867a9
1227b7a6b876
1313b10ca376
14945a8a5aa
15556d2ee43
hex333645d1a

13747117338 has 80 divisors (see below), whose sum is σ = 31983215616. Its totient is φ = 4408642080.

The previous prime is 13747117211. The next prime is 13747117339. The reversal of 13747117338 is 83371174731.

13747117338 is a `hidden beast` number, since 1 + 3 + 7 + 471 + 173 + 3 + 8 = 666.

13747117338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13747117293 and 13747117302.

It is not an unprimeable number, because it can be changed into a prime (13747117339) 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 39 ways as a sum of consecutive naturals, for example, 860895 + ... + 876717.

Almost surely, 213747117338 is an apocalyptic number.

13747117338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13747117338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991607808).

13747117338 is an abundant number, since it is smaller than the sum of its proper divisors (18236098278).

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

13747117338 is a wasteful number, since it uses less digits than its factorization.

13747117338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16041 (or 16032 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The spelling of 13747117338 in words is "thirteen billion, seven hundred forty-seven million, one hundred seventeen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 173 186 279 346 519 558 837 1038 1557 1674 2511 3114 4671 5022 5363 9342 10726 14013 15823 16089 28026 31646 32178 47469 48267 94938 96534 142407 144801 284814 289602 427221 434403 490513 854442 868806 981026 1281663 1471539 2563326 2737379 2943078 4414617 5474758 8212137 8829234 13243851 16424274 24636411 26487702 39731553 49272822 73909233 79463106 84858749 147818466 169717498 221727699 254576247 443455398 509152494 763728741 1527457482 2291186223 4582372446 6873558669 13747117338