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66768096 = 2534491549
BaseRepresentation
bin1111111010110…
…0110011100000
311122122011121110
43332230303200
5114043034341
610343023320
71440343113
oct376546340
9148564543
1066768096
113476394a
121a43ab40
1310aa9765
148c2057a
155cdd216
hex3facce0

66768096 has 48 divisors (see below), whose sum is σ = 175770000. Its totient is φ = 22192128.

The previous prime is 66768089. The next prime is 66768137. The reversal of 66768096 is 69086766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42330 + ... + 43878.

It is an arithmetic number, because the mean of its divisors is an integer number (3661875).

Almost surely, 266768096 is an apocalyptic number.

It is an amenable number.

66768096 is an abundant number, since it is smaller than the sum of its proper divisors (109001904).

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

66768096 is a wasteful number, since it uses less digits than its factorization.

66768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 66768096 is about 8171.1747013511. The cubic root of 66768096 is about 405.6856667356.

The spelling of 66768096 in words is "sixty-six million, seven hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 449 898 1347 1549 1796 2694 3098 3592 4647 5388 6196 7184 9294 10776 12392 14368 18588 21552 24784 37176 43104 49568 74352 148704 695501 1391002 2086503 2782004 4173006 5564008 8346012 11128016 16692024 22256032 33384048 66768096