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66764600900 = 22524116284049
BaseRepresentation
bin111110001011011110…
…101111011001000100
320101022221101010200022
4332023132233121010
52043213214212100
650400553034312
74552326513134
oct761336573104
9211287333608
1066764600900
1126350970918
1210b333b5998
1363b006350a
143335054ac4
151b0b56de85
hexf8b7af644

66764600900 has 36 divisors (see below), whose sum is σ = 148412831700. Its totient is φ = 26054476800.

The previous prime is 66764600857. The next prime is 66764600909. The reversal of 66764600900 is 900646766.

It can be written as a sum of positive squares in 6 ways, for example, as 11173335616 + 55591265284 = 105704^2 + 235778^2 .

It is not an unprimeable number, because it can be changed into a prime (66764600909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8137925 + ... + 8146124.

Almost surely, 266764600900 is an apocalyptic number.

It is an amenable number.

66764600900 is an abundant number, since it is smaller than the sum of its proper divisors (81648230800).

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

66764600900 is a wasteful number, since it uses less digits than its factorization.

66764600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16284104 (or 16284097 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 66764600900 in words is "sixty-six billion, seven hundred sixty-four million, six hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 16284049 32568098 65136196 81420245 162840490 325680980 407101225 667646009 814202450 1335292018 1628404900 2670584036 3338230045 6676460090 13352920180 16691150225 33382300450 66764600900