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68423573241 = 321722322232
BaseRepresentation
bin111111101110010111…
…001101111011111001
320112121120000122220100
4333232113031323321
52110112413320431
651233334350013
74641412530162
oct775627157371
9215546018810
1068423573241
1127022361341
1211316abb309
1365b597655a
1434514da769
151ba701b4e6
hexfee5cdef9

68423573241 has 81 divisors (see below), whose sum is σ = 110247419919. Its totient is φ = 40881658752.

The previous prime is 68423573233. The next prime is 68423573261. The reversal of 68423573241 is 14237532486.

The square root of 68423573241 is 261579.

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

It can be written as a sum of positive squares in only one way, i.e., 53270948025 + 15152625216 = 230805^2 + 123096^2 .

It is not a de Polignac number, because 68423573241 - 23 = 68423573233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68423573261) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 306832056 + ... + 306832278.

Almost surely, 268423573241 is an apocalyptic number.

68423573241 is the 261579-th square number.

68423573241 is the 130790-th centered octagonal number.

It is an amenable number.

68423573241 is a deficient number, since it is larger than the sum of its proper divisors (41823846678).

68423573241 is a wasteful number, since it uses less digits than its factorization.

68423573241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 68423573241 in words is "sixty-eight billion, four hundred twenty-three million, five hundred seventy-three thousand, two hundred forty-one".

Divisors: 1 3 9 17 23 51 69 153 207 223 289 391 529 669 867 1173 1587 2007 2601 3519 3791 4761 5129 6647 8993 11373 15387 19941 26979 34119 46161 49729 59823 64447 80937 87193 117967 149187 152881 193341 261579 353901 447561 458643 580023 784737 845393 1061703 1143767 1375929 1482281 2005439 2536179 3431301 4446843 6016317 7608537 10293903 13340529 14371681 18048951 19444039 26306641 34092463 43115043 58332117 78919923 102277389 129345129 174996351 236759769 306832167 330548663 447212897 991645989 1341638691 2974937967 4024916073 7602619249 22807857747 68423573241