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66417075846 = 23311111813259
BaseRepresentation
bin111101110110110001…
…000010011010000110
320100102201110000221000
4331312301002122012
52042010232411341
650302300234130
74540606554432
oct756661023206
9210381400830
1066417075846
1126192787130
1210a56b3b946
1363560659a4
143300c2d9c2
151adacc38b6
hexf76c42686

66417075846 has 32 divisors (see below), whose sum is σ = 161011094400. Its totient is φ = 20126386440.

The previous prime is 66417075749. The next prime is 66417075853. The reversal of 66417075846 is 64857071466.

66417075846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×664170758462 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66417075792 and 66417075801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55906036 + ... + 55907223.

It is an arithmetic number, because the mean of its divisors is an integer number (5031596700).

Almost surely, 266417075846 is an apocalyptic number.

66417075846 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66417075846 is an abundant number, since it is smaller than the sum of its proper divisors (94594018554).

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

66417075846 is a wasteful number, since it uses less digits than its factorization.

66417075846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111813281 (or 111813275 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 66417075846 in words is "sixty-six billion, four hundred seventeen million, seventy-five thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 111813259 223626518 335439777 670879554 1006319331 1229945849 2012638662 2459891698 3018957993 3689837547 6037915986 7379675094 11069512641 22139025282 33208537923 66417075846