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19966287616 = 281110170201
BaseRepresentation
bin10010100110000101…
…010101111100000000
31220112111002111112221
4102212011111330000
5311342332200431
613101122500424
71304532434032
oct224605257400
956474074487
1019966287616
1185164a3450
123a52804714
131b62702c92
14d75a2bc52
157bcd0c111
hex4a6155f00

19966287616 has 72 divisors (see below), whose sum is σ = 43908823728. Its totient is φ = 8985600000.

The previous prime is 19966287613. The next prime is 19966287647. The reversal of 19966287616 is 61678266991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19966287611) 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, 249316 + ... + 319516.

It is an arithmetic number, because the mean of its divisors is an integer number (609844774).

Almost surely, 219966287616 is an apocalyptic number.

19966287616 is a gapful number since it is divisible by the number (16) 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 19966287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954411864).

19966287616 is an abundant number, since it is smaller than the sum of its proper divisors (23942536112).

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

19966287616 is a wasteful number, since it uses less digits than its factorization.

19966287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70329 (or 70315 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 61.

The spelling of 19966287616 in words is "nineteen billion, nine hundred sixty-six million, two hundred eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 256 352 404 704 808 1111 1408 1616 2222 2816 3232 4444 6464 8888 12928 17776 25856 35552 70201 71104 140402 142208 280804 284416 561608 772211 1123216 1544422 2246432 3088844 4492864 6177688 7090301 8985728 12355376 14180602 17971456 24710752 28361204 49421504 56722408 77993311 98843008 113444816 155986622 197686016 226889632 311973244 453779264 623946488 907558528 1247892976 1815117056 2495785952 4991571904 9983143808 19966287616