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1664476900 = 225216644769
BaseRepresentation
bin110001100110101…
…1110011011100100
311022000000012001121
41203031132123210
511402101230100
6433055303324
756150551222
oct14315363344
94260005047
101664476900
11784610149
123a551ab44
13206abc698
1411b0b9b12
159b1d851a
hex6335e6e4

1664476900 has 18 divisors (see below), whose sum is σ = 3611915090. Its totient is φ = 665790720.

The previous prime is 1664476897. The next prime is 1664476901. The reversal of 1664476900 is 96744661.

It can be written as a sum of positive squares in 3 ways, for example, as 18714276 + 1645762624 = 4326^2 + 40568^2 .

It is a super-2 number, since 2×16644769002 = 5540966701267220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1664476901) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8322285 + ... + 8322484.

Almost surely, 21664476900 is an apocalyptic number.

1664476900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664476900 is an abundant number, since it is smaller than the sum of its proper divisors (1947438190).

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

1664476900 is a wasteful number, since it uses less digits than its factorization.

1664476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644783 (or 16644776 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 1664476900 is about 40798.0011765282. The cubic root of 1664476900 is about 1185.1116228298. Note that the first 3 decimals are identical.

The spelling of 1664476900 in words is "one billion, six hundred sixty-four million, four hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 16644769 33289538 66579076 83223845 166447690 332895380 416119225 832238450 1664476900