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34688138065087 = 1321761197931779
BaseRepresentation
bin1111110001100011101100…
…01001011011010010111111
311112211011010222120010111111
413320301312021123102333
514021312301321040322
6201435302144102451
710210064253423253
oct770616611332277
9145734128503444
1034688138065087
111006417a690021
123a82963304a27
131648101020800
1487ccb4472263
154024b878e177
hex1f8c7625b4bf

34688138065087 has 24 divisors (see below), whose sum is σ = 40423211565840. Its totient is φ = 29642263073280.

The previous prime is 34688138065051. The next prime is 34688138065099. The reversal of 34688138065087 is 78056083188643.

It is not a de Polignac number, because 34688138065087 - 239 = 34138382251199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34688138065787) 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, 98790637 + ... + 99141142.

It is an arithmetic number, because the mean of its divisors is an integer number (1684300481910).

Almost surely, 234688138065087 is an apocalyptic number.

34688138065087 is a deficient number, since it is larger than the sum of its proper divisors (5735073500753).

34688138065087 is a wasteful number, since it uses less digits than its factorization.

34688138065087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197931883 (or 197931870 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 67.

The spelling of 34688138065087 in words is "thirty-four trillion, six hundred eighty-eight billion, one hundred thirty-eight million, sixty-five thousand, eighty-seven".

Divisors: 1 13 17 61 169 221 793 1037 2873 10309 13481 175253 197931779 2573113127 3364840243 12073838519 33450470651 43742923159 156959900747 205255254823 568658001067 2040478709711 2668318312699 34688138065087