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66078815364 = 2234142812
BaseRepresentation
bin111101100010100110…
…101011010010000100
320022120010221121210000
4331202212223102010
52040312134042424
650204534201300
74526331443322
oct754246532204
9208503847700
1066078815364
1126029850011
12109817b3230
136300c60063
1432abd3ad12
151abb2583c9
hexf629ab484

66078815364 has 45 divisors (see below), whose sum is σ = 172755172821. Its totient is φ = 22024729440.

The previous prime is 66078815321. The next prime is 66078815417. The reversal of 66078815364 is 46351887066.

The square root of 66078815364 is 257058.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9253764 + 66069561600 = 3042^2 + 257040^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66078815364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4619904 + ... + 4634184.

Almost surely, 266078815364 is an apocalyptic number.

66078815364 is the 257058-th square number.

It is an amenable number.

66078815364 is an abundant number, since it is smaller than the sum of its proper divisors (106676357457).

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

66078815364 is an frugal number, since it uses more digits than its factorization.

66078815364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28578 (or 14286 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 66078815364 in words is "sixty-six billion, seventy-eight million, eight hundred fifteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 14281 28562 42843 57124 85686 128529 171372 257058 385587 514116 771174 1156761 1542348 2313522 4627044 203946961 407893922 611840883 815787844 1223681766 1835522649 2447363532 3671045298 5506567947 7342090596 11013135894 16519703841 22026271788 33039407682 66078815364