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12938290600 = 235264691453
BaseRepresentation
bin11000000110010111…
…01010010110101000
31020101200200021002011
430003023222112220
5202444200244400
65535504245304
7635423440564
oct140313522650
936350607064
1012938290600
11553a367254
122611010834
1312b2676971
148aa4a46a4
1550ad128ba
hex3032ea5a8

12938290600 has 24 divisors (see below), whose sum is σ = 30081526110. Its totient is φ = 5175316160.

The previous prime is 12938290571. The next prime is 12938290609. The reversal of 12938290600 is 609283921.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12616231684 + 322058916 = 112322^2 + 17946^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12938290609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32345527 + ... + 32345926.

Almost surely, 212938290600 is an apocalyptic number.

12938290600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12938290600 is an abundant number, since it is smaller than the sum of its proper divisors (17143235510).

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

12938290600 is a wasteful number, since it uses less digits than its factorization.

12938290600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64691469 (or 64691460 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 12938290600 in words is "twelve billion, nine hundred thirty-eight million, two hundred ninety thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 64691453 129382906 258765812 323457265 517531624 646914530 1293829060 1617286325 2587658120 3234572650 6469145300 12938290600