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66813129792 = 2632115995017
BaseRepresentation
bin111110001110010111…
…110111010001000000
320101110022200122210200
4332032113313101000
52043313130123132
650405445125200
74553456142603
oct761627672100
9211408618720
1066813129792
11263762a7342
1210b476b9800
1363ba125136
14333b68833a
151b10957d7c
hexf8e5f7440

66813129792 has 42 divisors (see below), whose sum is σ = 191507774718. Its totient is φ = 22271043072.

The previous prime is 66813129767. The next prime is 66813129809. The reversal of 66813129792 is 29792131866.

It can be written as a sum of positive squares in only one way, i.e., 62048817216 + 4764312576 = 249096^2 + 69024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57996933 + ... + 57998084.

Almost surely, 266813129792 is an apocalyptic number.

It is an amenable number.

66813129792 is an abundant number, since it is smaller than the sum of its proper divisors (124694644926).

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

66813129792 is a wasteful number, since it uses less digits than its factorization.

66813129792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115995035 (or 115995022 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 66813129792 in words is "sixty-six billion, eight hundred thirteen million, one hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 115995017 231990034 347985051 463980068 695970102 927960136 1043955153 1391940204 1855920272 2087910306 2783880408 3711840544 4175820612 5567760816 7423681088 8351641224 11135521632 16703282448 22271043264 33406564896 66813129792