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12693033680 = 245179333113
BaseRepresentation
bin10111101001001000…
…00101001011010000
31012202121011220211112
423310210011023100
5201443404034210
65455303432452
7626355002045
oct136444051320
935677156745
1012693033680
115423983088
122562a55728
131273905122
14885aa11cc
154e4518d05
hex2f49052d0

12693033680 has 40 divisors (see below), whose sum is σ = 31247265672. Its totient is φ = 4778553344.

The previous prime is 12693033679. The next prime is 12693033707. The reversal of 12693033680 is 8633039621.

It can be written as a sum of positive squares in 4 ways, for example, as 1570378384 + 11122655296 = 39628^2 + 105464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×126930336802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4665197 + ... + 4667916.

Almost surely, 212693033680 is an apocalyptic number.

12693033680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12693033680 is an abundant number, since it is smaller than the sum of its proper divisors (18554231992).

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

12693033680 is a wasteful number, since it uses less digits than its factorization.

12693033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9333143 (or 9333137 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 12693033680 in words is "twelve billion, six hundred ninety-three million, thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 9333113 18666226 37332452 46665565 74664904 93331130 149329808 158662921 186662260 317325842 373324520 634651684 746649040 793314605 1269303368 1586629210 2538606736 3173258420 6346516840 12693033680