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1645661664 = 25331904701
BaseRepresentation
bin110001000010110…
…1100110111100000
311020200121021102000
41202011230313200
511332242133124
6431144124000
755531615263
oct14205546740
94220537360
101645661664
11774a29a69
1239b166600
13202c325ca
141187bccda
159971d6c9
hex6216cde0

1645661664 has 48 divisors (see below), whose sum is σ = 4799849040. Its totient is φ = 548553600.

The previous prime is 1645661651. The next prime is 1645661669. The reversal of 1645661664 is 4661665461.

It is a happy number.

1645661664 is a `hidden beast` number, since 16 + 4 + 566 + 16 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645661669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951487 + ... + 953214.

It is an arithmetic number, because the mean of its divisors is an integer number (99996855).

Almost surely, 21645661664 is an apocalyptic number.

It is an amenable number.

1645661664 is an abundant number, since it is smaller than the sum of its proper divisors (3154187376).

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

1645661664 is a wasteful number, since it uses less digits than its factorization.

1645661664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904720 (or 1904706 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1645661664 is about 40566.7556504091. The cubic root of 1645661664 is about 1180.6291923597.

The spelling of 1645661664 in words is "one billion, six hundred forty-five million, six hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1904701 3809402 5714103 7618804 11428206 15237608 17142309 22856412 30475216 34284618 45712824 51426927 60950432 68569236 91425648 102853854 137138472 182851296 205707708 274276944 411415416 548553888 822830832 1645661664