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68270374935 = 355710973643
BaseRepresentation
bin111111100101001110…
…110100000000010111
320112012212202101100000
4333211032310000113
52104304203444220
651210223022343
74634542416660
oct774516640027
9215185671300
1068270374935
1126a53935174
121129373a9b3
13658ccc7979
14343901c367
151b98859390
hexfe53b4017

68270374935 has 96 divisors (see below), whose sum is σ = 141537876480. Its totient is φ = 30922570368.

The previous prime is 68270374883. The next prime is 68270374937. The reversal of 68270374935 is 53947307286.

68270374935 is a `hidden beast` number, since 6 + 82 + 70 + 3 + 7 + 493 + 5 = 666.

It is not a de Polignac number, because 68270374935 - 29 = 68270374423 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68270374937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890224 + ... + 963866.

It is an arithmetic number, because the mean of its divisors is an integer number (1474352880).

Almost surely, 268270374935 is an apocalyptic number.

68270374935 is an abundant number, since it is smaller than the sum of its proper divisors (73267501545).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68270374935 is a wasteful number, since it uses less digits than its factorization.

68270374935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73779 (or 73767 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 68270374935 in words is "sixty-eight billion, two hundred seventy million, three hundred seventy-four thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 109 135 189 243 315 327 405 545 567 763 945 981 1215 1635 1701 2289 2835 2943 3815 4905 6867 8505 8829 11445 14715 20601 26487 34335 44145 61803 73643 103005 132435 185409 220929 309015 368215 515501 662787 927045 1104645 1546503 1988361 2577505 3313935 4639509 5965083 7732515 8027087 9941805 13918527 17895249 23197545 24081261 29825415 40135435 41755581 56189609 69592635 72243783 89476245 120406305 125266743 168568827 208777905 216731349 280948045 361218915 505706481 626333715 650194047 842844135 1083656745 1517119443 1950582141 2528532405 3250970235 4551358329 7585597215 9752910705 13654074987 22756791645 68270374935