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1664964450 = 233525092423
BaseRepresentation
bin110001100111101…
…0101011101100010
311022000220221212000
41203033111131202
511402212330300
6433113544430
756154651522
oct14317253542
94260827760
101664964450
11784913486
123a5715116
13206c30586
1411b1a5682
159b282c00
hex633d5762

1664964450 has 96 divisors (see below), whose sum is σ = 4598812800. Its totient is φ = 442935360.

The previous prime is 1664964437. The next prime is 1664964451. The reversal of 1664964450 is 544694661.

It is a happy number.

1664964450 is a `hidden beast` number, since 166 + 49 + 6 + 445 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1664964396 and 1664964405.

It is not an unprimeable number, because it can be changed into a prime (1664964451) 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 47 ways as a sum of consecutive naturals, for example, 685939 + ... + 688361.

It is an arithmetic number, because the mean of its divisors is an integer number (47904300).

Almost surely, 21664964450 is an apocalyptic number.

1664964450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664964450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299406400).

1664964450 is an abundant number, since it is smaller than the sum of its proper divisors (2933848350).

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

1664964450 is a wasteful number, since it uses less digits than its factorization.

1664964450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2942 counting only the distinct ones).

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

The square root of 1664964450 is about 40803.9759092175. The cubic root of 1664964450 is about 1185.2273237977.

The spelling of 1664964450 in words is "one billion, six hundred sixty-four million, nine hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 509 675 1018 1350 1527 2423 2545 3054 4581 4846 5090 7269 7635 9162 12115 12725 13743 14538 15270 21807 22905 24230 25450 27486 36345 38175 43614 45810 60575 65421 68715 72690 76350 109035 114525 121150 130842 137430 181725 218070 229050 327105 343575 363450 545175 654210 687150 1090350 1233307 1635525 2466614 3271050 3699921 6166535 7399842 11099763 12333070 18499605 22199526 30832675 33299289 36999210 55498815 61665350 66598578 92498025 110997630 166496445 184996050 277494075 332992890 554988150 832482225 1664964450