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1066645368 = 23339750909
BaseRepresentation
bin111111100100111…
…011011101111000
32202100002012101000
4333210323131320
54141030122433
6253501525000
735301223155
oct7744733570
92670065330
101066645368
114a81034a8
12259273760
1313cca2b09
14a193922c
1563998113
hex3f93b778

1066645368 has 64 divisors (see below), whose sum is σ = 2993508000. Its totient is φ = 351876096.

The previous prime is 1066645291. The next prime is 1066645369. The reversal of 1066645368 is 8635466601.

It is a super-2 number, since 2×10666453682 = 2275464682151710848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066645369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4503 + ... + 46406.

Almost surely, 21066645368 is an apocalyptic number.

1066645368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066645368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496754000).

1066645368 is an abundant number, since it is smaller than the sum of its proper divisors (1926862632).

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

1066645368 is a wasteful number, since it uses less digits than its factorization.

1066645368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51021 (or 51011 counting only the distinct ones).

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

The square root of 1066645368 is about 32659.5371675717. The cubic root of 1066645368 is about 1021.7391092423.

The spelling of 1066645368 in words is "one billion, sixty-six million, six hundred forty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1164 1746 2328 2619 3492 5238 6984 10476 20952 50909 101818 152727 203636 305454 407272 458181 610908 916362 1221816 1374543 1832724 2749086 3665448 4938173 5498172 9876346 10996344 14814519 19752692 29629038 39505384 44443557 59258076 88887114 118516152 133330671 177774228 266661342 355548456 533322684 1066645368