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13126046266341 = 32229283190711801
BaseRepresentation
bin1011111100000010010101…
…0100110011001111100101
31201110211121201210021221100
42333000211110303033211
53210024120321010331
643530004501310313
72523216443236431
oct277004524631745
951424551707840
1013126046266341
1142007a7a16248
12157baba405399
13742a1c6ba378
143354383819c1
1517b68a363ae6
hexbf0255333e5

13126046266341 has 48 divisors (see below), whose sum is σ = 19121568298560. Its totient is φ = 8676410860800.

The previous prime is 13126046266339. The next prime is 13126046266343. The reversal of 13126046266341 is 14366264062131.

13126046266341 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 6 + 0 + 4 + 6 + 2 + 6 + 634 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13126046266339) and next prime (13126046266343).

It is not a de Polignac number, because 13126046266341 - 21 = 13126046266339 is a prime.

It is a super-2 number, since 2×131260462663412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13126046266343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112276641 + ... + 1112288441.

It is an arithmetic number, because the mean of its divisors is an integer number (398366006220).

Almost surely, 213126046266341 is an apocalyptic number.

It is an amenable number.

13126046266341 is a deficient number, since it is larger than the sum of its proper divisors (5995522032219).

13126046266341 is a wasteful number, since it uses less digits than its factorization.

13126046266341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14226 (or 14223 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 13126046266341 in words is "thirteen trillion, one hundred twenty-six billion, forty-six million, two hundred sixty-six thousand, three hundred forty-one".

Divisors: 1 3 9 229 283 687 849 1907 2061 2547 5721 11801 17163 35403 64807 106209 194421 436703 539681 583263 1310109 1619043 2702429 3339683 3930327 4857129 8107287 10019049 22504507 24321861 30057147 67513521 123586949 202540563 370760847 764787407 1112282541 2294362221 5153532103 6368775481 6883086663 15460596309 19106326443 46381788927 57318979329 1458449585149 4375348755447 13126046266341