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15066105132 = 223131091137841
BaseRepresentation
bin11100000100000001…
…01000010100101100
31102212222112102212210
432002000220110230
5221323410331012
610530554530420
71042231531521
oct160200502454
942788472783
1015066105132
116431472861
122b05736a10
131561452b10
14a2cd11148
155d2a2123c
hex38202852c

15066105132 has 96 divisors (see below), whose sum is σ = 38548762560. Its totient is φ = 4551966720.

The previous prime is 15066105113. The next prime is 15066105161. The reversal of 15066105132 is 23150166051.

It is a self number, because there is not a number n which added to its sum of digits gives 15066105132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917532 + ... + 1925372.

It is an arithmetic number, because the mean of its divisors is an integer number (401549610).

Almost surely, 215066105132 is an apocalyptic number.

15066105132 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 15066105132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19274381280).

15066105132 is an abundant number, since it is smaller than the sum of its proper divisors (23482657428).

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

15066105132 is a wasteful number, since it uses less digits than its factorization.

15066105132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8081 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 15066105132 in words is "fifteen billion, sixty-six million, one hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 113 156 218 226 327 339 436 452 654 678 1308 1356 1417 1469 2834 2938 4251 4407 5668 5876 7841 8502 8814 12317 15682 17004 17628 23523 24634 31364 36951 47046 49268 73902 94092 101933 147804 160121 203866 305799 320242 407732 480363 611598 640484 854669 886033 960726 1223196 1709338 1772066 1921452 2564007 2658099 3418676 3544132 5128014 5316198 10256028 10632396 11110697 11518429 22221394 23036858 33332091 34555287 44442788 46073716 66664182 69110574 96577597 133328364 138221148 193155194 289732791 386310388 579465582 1158931164 1255508761 2511017522 3766526283 5022035044 7533052566 15066105132