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126138083337 = 32717311573363
BaseRepresentation
bin111010101111001101…
…0100110100000001001
3110001120210001112220100
41311132122212200021
54031312322131322
6133540320520013
712053551006050
oct1653632464011
9401523045810
10126138083337
1149549728a72
1220543480009
13bb82a6bc46
14616861b397
153433cb6dac
hex1d5e6a6809

126138083337 has 24 divisors (see below), whose sum is σ = 209431594944. Its totient is φ = 71662257504.

The previous prime is 126138083317. The next prime is 126138083341. The reversal of 126138083337 is 733380831621.

126138083337 is a `hidden beast` number, since 1 + 261 + 380 + 8 + 3 + 3 + 3 + 7 = 666.

It is not a de Polignac number, because 126138083337 - 212 = 126138079241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 126138083292 and 126138083301.

It is not an unprimeable number, because it can be changed into a prime (126138083317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5775783 + ... + 5797580.

It is an arithmetic number, because the mean of its divisors is an integer number (8726316456).

Almost surely, 2126138083337 is an apocalyptic number.

It is an amenable number.

126138083337 is a deficient number, since it is larger than the sum of its proper divisors (83293511607).

126138083337 is a wasteful number, since it uses less digits than its factorization.

126138083337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11573549 (or 11573546 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 126138083337 in words is "one hundred twenty-six billion, one hundred thirty-eight million, eighty-three thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 63 173 519 1211 1557 3633 10899 11573363 34720089 81013541 104160267 243040623 729121869 2002191799 6006575397 14015342593 18019726191 42046027779 126138083337