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10874027261241 = 32232477912
BaseRepresentation
bin1001111000111100111010…
…0010000011110100111001
31102111112202122201111112100
42132033032202003310321
52411130001434324431
635043243102334013
72201423350443354
oct236171642036471
942445678644470
1010874027261241
1135127159a3861
12127756188a309
1360b5549c7451
1429843ccb929b
1513ccd21a34e6
hex9e3ce883d39

10874027261241 has 27 divisors (see below), whose sum is σ = 16419873503397. Its totient is φ = 6934017218040.

The previous prime is 10874027261239. The next prime is 10874027261281. The reversal of 10874027261241 is 14216272047801.

The square root of 10874027261241 is 3297579.

It is a perfect power (a square), and thus also a powerful number.

10874027261241 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 0 + 27 + 2 + 612 + 4 + 1 = 666.

It is not a de Polignac number, because 10874027261241 - 21 = 10874027261239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10874027261281) 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 26 ways as a sum of consecutive naturals, for example, 227509056 + ... + 227556846.

Almost surely, 210874027261241 is an apocalyptic number.

10874027261241 is the 3297579-th square number.

10874027261241 is the 1648790-th centered octagonal number.

It is an amenable number.

10874027261241 is a deficient number, since it is larger than the sum of its proper divisors (5545846242156).

10874027261241 is an frugal number, since it uses more digits than its factorization.

10874027261241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95634 (or 47817 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10874027261241 in words is "ten trillion, eight hundred seventy-four billion, twenty-seven million, two hundred sixty-one thousand, two hundred forty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 47791 143373 430119 1099193 3297579 9892737 25281439 75844317 227532951 2283979681 6851939043 20555817129 52531532663 157594597989 472783793967 1208225251249 3624675753747 10874027261241