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66978045459 = 321317234731151
BaseRepresentation
bin111110011000001100…
…111101111000010011
320101212211000020120100
4332120030331320103
52044132334423314
650434055543443
74560530664363
oct763014757023
9211784006510
1066978045459
11264503a6986
1210b9298ab83
136415347180
1433555369a3
151b20181c09
hexf9833de13

66978045459 has 96 divisors (see below), whose sum is σ = 117566152704. Its totient is φ = 36315417600.

The previous prime is 66978045439. The next prime is 66978045469. The reversal of 66978045459 is 95454087966.

66978045459 is a `hidden beast` number, since 6 + 6 + 9 + 7 + 80 + 4 + 545 + 9 = 666.

It is not a de Polignac number, because 66978045459 - 235 = 32618307091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66978045396 and 66978045405.

It is not an unprimeable number, because it can be changed into a prime (66978045419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2134534 + ... + 2165684.

It is an arithmetic number, because the mean of its divisors is an integer number (1224647424).

Almost surely, 266978045459 is an apocalyptic number.

66978045459 is a gapful number since it is divisible by the number (69) formed by its first and last digit.

66978045459 is a deficient number, since it is larger than the sum of its proper divisors (50588107245).

66978045459 is a wasteful number, since it uses less digits than its factorization.

66978045459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31257 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 66978045459 in words is "sixty-six billion, nine hundred seventy-eight million, forty-five thousand, four hundred fifty-nine".

Divisors: 1 3 9 13 17 23 39 47 51 69 117 141 153 207 221 299 391 423 611 663 799 897 1081 1173 1833 1989 2397 2691 3243 3519 5083 5499 7191 9729 10387 14053 15249 18377 31151 31161 42159 45747 55131 93453 93483 126477 165393 238901 280359 404963 529567 716473 716703 1214889 1464097 1588701 2149419 2150109 3644667 4392291 4766103 6448257 6884371 9314149 12180041 13176873 19033261 20653113 24889649 27942447 33674231 36540123 57099783 61959339 74668947 83827341 101022693 109620369 158340533 171299349 224006841 303068079 323565437 437765003 475021599 572461927 970696311 1313295009 1425064797 1717385781 2912088933 3939885027 5152157343 7442005051 22326015153 66978045459