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1664133444 = 2233233121611
BaseRepresentation
bin110001100110000…
…1010100101000100
311021222100201221000
41203030022211010
511402004232234
6433044053300
756144621001
oct14314124504
94258321830
101664133444
117843a60a6
123a5394230
132069cc25c
1411b02a8a8
159b16b899
hex6330a944

1664133444 has 96 divisors (see below), whose sum is σ = 4647444480. Its totient is φ = 513453600.

The previous prime is 1664133439. The next prime is 1664133473. The reversal of 1664133444 is 4443314661.

1664133444 is a `hidden beast` number, since 1 + 6 + 641 + 3 + 3 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×16641334442 = 5538680238878602272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1664133399 and 1664133408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66199 + ... + 87809.

It is an arithmetic number, because the mean of its divisors is an integer number (48410880).

Almost surely, 21664133444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664133444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323722240).

1664133444 is an abundant number, since it is smaller than the sum of its proper divisors (2983311036).

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

1664133444 is a wasteful number, since it uses less digits than its factorization.

1664133444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21678 (or 21670 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1664133444 is about 40793.7917335469. The cubic root of 1664133444 is about 1185.0301033852.

The spelling of 1664133444 in words is "one billion, six hundred sixty-four million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 558 621 713 828 837 1116 1242 1426 1674 2139 2484 2852 3348 4278 6417 8556 12834 19251 21611 25668 38502 43222 64833 77004 86444 129666 194499 259332 388998 497053 583497 669941 777996 994106 1166994 1339882 1491159 1988212 2009823 2333988 2679764 2982318 4019646 4473477 5964636 6029469 8039292 8946954 12058938 13420431 15408643 17893908 18088407 24117876 26840862 30817286 36176814 46225929 53681724 61634572 72353628 92451858 138677787 184903716 277355574 416033361 554711148 832066722 1664133444