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68438312021871 = 321110924126316041
BaseRepresentation
bin11111000111110100010010…
…10001101110111101101111
322222022122020122011122122100
433203322021101232331233
532432243130334144441
6401320043154150143
720262335112604521
oct1743721121567557
9288278218148570
1068438312021871
111a896585a53830
127813978282353
132c259222358bc
1412c86094ada11
157da386b1bcb6
hex3e3e8946ef6f

68438312021871 has 48 divisors (see below), whose sum is σ = 109283153934240. Its totient is φ = 40926705408000.

The previous prime is 68438312021771. The next prime is 68438312021929. The reversal of 68438312021871 is 17812021383486.

68438312021871 is a `hidden beast` number, since 6 + 8 + 43 + 8 + 312 + 0 + 218 + 71 = 666.

It is not a de Polignac number, because 68438312021871 - 213 = 68438312013679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68438312021371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10557390 + ... + 15758651.

It is an arithmetic number, because the mean of its divisors is an integer number (2276732373630).

Almost surely, 268438312021871 is an apocalyptic number.

68438312021871 is a deficient number, since it is larger than the sum of its proper divisors (40844841912369).

68438312021871 is a wasteful number, since it uses less digits than its factorization.

68438312021871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26316408 (or 26316405 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 68438312021871 in words is "sixty-eight trillion, four hundred thirty-eight billion, three hundred twelve million, twenty-one thousand, eight hundred seventy-one".

Divisors: 1 3 9 11 33 99 109 241 327 723 981 1199 2169 2651 3597 7953 10791 23859 26269 78807 236421 288959 866877 2600631 26316041 78948123 236844369 289476451 868429353 2605288059 2868448469 6342165881 8605345407 19026497643 25816036221 31552933159 57079492929 69763824691 94658799477 209291474073 283976398431 627874422219 691296081029 2073888243087 6221664729261 7604256891319 22812770673957 68438312021871