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67782827749687 = 109229103310632473
BaseRepresentation
bin11110110100101111010110…
…10111101011000100110111
322212222222022210212112102021
433122113223113223010313
532341023212400442222
6400055000131254011
720164101442326151
oct1732275327530467
9285888283775367
1067782827749687
111a663599196336
127728923a4a307
132ba8b7c57070b
1412a49c63b7ad1
157c82c0be4ac7
hex3da5eb5eb137

67782827749687 has 32 divisors (see below), whose sum is σ = 68862436227200. Its totient is φ = 66713124759552.

The previous prime is 67782827749657. The next prime is 67782827749711. The reversal of 67782827749687 is 78694772828776.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-67782827749687 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 67782827749598 and 67782827749607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67782827749657) 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 31 ways as a sum of consecutive naturals, for example, 27409148683 + ... + 27409151155.

It is an arithmetic number, because the mean of its divisors is an integer number (2151951132100).

Almost surely, 267782827749687 is an apocalyptic number.

67782827749687 is a deficient number, since it is larger than the sum of its proper divisors (1079608477513).

67782827749687 is a wasteful number, since it uses less digits than its factorization.

67782827749687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4907.

The product of its digits is 44609273856, while the sum is 88.

The spelling of 67782827749687 in words is "sixty-seven trillion, seven hundred eighty-two billion, eight hundred twenty-seven million, seven hundred forty-nine thousand, six hundred eighty-seven".

Divisors: 1 109 229 1033 1063 2473 24961 112597 115867 236557 243427 269557 566317 1098079 2554609 2628799 25784713 26533543 61728553 119690611 251460091 278452381 286539091 585005461 601994971 2715549367 27409149919 63765595249 65617451839 295994881003 621860805043 67782827749687