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13663650132 = 22331182114009
BaseRepresentation
bin11001011100110101…
…01100000101010100
31022021020120100022000
430232122230011110
5210440343301012
610135455235300
7662412052446
oct145632540524
938236510260
1013663650132
115881857640
122793b18b30
131399a24aa2
14938960496
1554e843ddc
hex32e6ac154

13663650132 has 96 divisors (see below), whose sum is σ = 38694499200. Its totient is φ = 4135161600.

The previous prime is 13663650109. The next prime is 13663650149. The reversal of 13663650132 is 23105636631.

13663650132 is a `hidden beast` number, since 1 + 3 + 6 + 636 + 5 + 0 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968344 + ... + 982352.

It is an arithmetic number, because the mean of its divisors is an integer number (403067700).

Almost surely, 213663650132 is an apocalyptic number.

13663650132 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 13663650132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19347249600).

13663650132 is an abundant number, since it is smaller than the sum of its proper divisors (25030849068).

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

13663650132 is a wasteful number, since it uses less digits than its factorization.

13663650132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14854 (or 14846 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13663650132 in words is "thirteen billion, six hundred sixty-three million, six hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 821 1188 1642 2463 3284 4926 7389 9031 9852 14009 14778 18062 22167 27093 28018 29556 36124 42027 44334 54186 56036 81279 84054 88668 108372 126081 154099 162558 168108 243837 252162 308198 325116 378243 462297 487674 504324 616396 756486 924594 975348 1386891 1512972 1849188 2773782 4160673 5547564 8321346 11501389 16642692 23002778 34504167 46005556 69008334 103512501 126515279 138016668 207025002 253030558 310537503 379545837 414050004 506061116 621075006 759091674 1138637511 1242150012 1518183348 2277275022 3415912533 4554550044 6831825066 13663650132