Search a number
-
+
8893131072 = 263744914737
BaseRepresentation
bin10000100100001001…
…00110100101000000
3211221202222212101220
420102010212211000
5121203120143242
64030242355040
7433244236560
oct102204464500
924852885356
108893131072
113853a39001
12188235ba80
13ab95a3147
14605156da0
15370b1bbec
hex212126940

8893131072 has 112 divisors (see below), whose sum is σ = 26952854400. Its totient is φ = 2535063552.

The previous prime is 8893131061. The next prime is 8893131073. The reversal of 8893131072 is 2701313988.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8893131073) 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, 596088 + ... + 610824.

Almost surely, 28893131072 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 8893131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13476427200).

8893131072 is an abundant number, since it is smaller than the sum of its proper divisors (18059723328).

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

8893131072 is a wasteful number, since it uses less digits than its factorization.

8893131072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15208 (or 15198 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 8893131072 is about 94303.3990479665. The cubic root of 8893131072 is about 2071.8178211247.

The spelling of 8893131072 in words is "eight billion, eight hundred ninety-three million, one hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 449 672 898 1344 1347 1796 2694 3143 3592 5388 6286 7184 9429 10776 12572 14368 14737 18858 21552 25144 28736 29474 37716 43104 44211 50288 58948 75432 86208 88422 100576 103159 117896 150864 176844 201152 206318 235792 301728 309477 353688 412636 471584 603456 618954 707376 825272 943168 1237908 1414752 1650544 2475816 2829504 3301088 4951632 6602176 6616913 9903264 13233826 19806528 19850739 26467652 39701478 46318391 52935304 79402956 92636782 105870608 138955173 158805912 185273564 211741216 277910346 317611824 370547128 423482432 555820692 635223648 741094256 1111641384 1270447296 1482188512 2223282768 2964377024 4446565536 8893131072