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12137642440 = 2357113940793
BaseRepresentation
bin10110100110111010…
…11011100111001000
31011022220010010021121
423103131123213020
5144324214024230
65324223445024
7606532154440
oct132335334710
934286103247
1012137642440
115169423460
122428a56774
1311b5827a61
1483200b120
154b08ad77a
hex2d375b9c8

12137642440 has 64 divisors (see below), whose sum is σ = 34048460160. Its totient is φ = 3783160320.

The previous prime is 12137642437. The next prime is 12137642441. The reversal of 12137642440 is 4424673121.

It is a junction number, because it is equal to n+sod(n) for n = 12137642396 and 12137642405.

It is not an unprimeable number, because it can be changed into a prime (12137642441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967317 + ... + 1973476.

It is an arithmetic number, because the mean of its divisors is an integer number (532007190).

Almost surely, 212137642440 is an apocalyptic number.

12137642440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137642440 is an abundant number, since it is smaller than the sum of its proper divisors (21910817720).

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

12137642440 is a wasteful number, since it uses less digits than its factorization.

12137642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940822 (or 3940818 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 12137642440 in words is "twelve billion, one hundred thirty-seven million, six hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3940793 7881586 15763172 19703965 27585551 31526344 39407930 43348723 55171102 78815860 86697446 110342204 137927755 157631720 173394892 216743615 220684408 275855510 303441061 346789784 433487230 551711020 606882122 866974460 1103422040 1213764244 1517205305 1733948920 2427528488 3034410610 6068821220 12137642440