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89235928704 = 2731353337279
BaseRepresentation
bin101001100011011100…
…0000011011010000000
322112100000010212100110
41103012320003122000
52430223344204304
6104554443351320
76306230610306
oct1230670033200
9275300125313
1089235928704
11349323a000a
1215364b22540
13855173baa0
144467646276
1524c4250289
hex14c6e03680

89235928704 has 128 divisors (see below), whose sum is σ = 260083353600. Its totient is φ = 26939068416.

The previous prime is 89235928703. The next prime is 89235928729. The reversal of 89235928704 is 40782953298.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×892359287042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89235928703) 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, 95937 + ... + 433215.

It is an arithmetic number, because the mean of its divisors is an integer number (2031901200).

Almost surely, 289235928704 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 89235928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130041676800).

89235928704 is an abundant number, since it is smaller than the sum of its proper divisors (170847424896).

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

89235928704 is a wasteful number, since it uses less digits than its factorization.

89235928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337362 (or 337350 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 89235928704 in words is "eighty-nine billion, two hundred thirty-five million, nine hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 104 106 128 156 159 192 208 212 312 318 384 416 424 624 636 689 832 848 1248 1272 1378 1664 1696 2067 2496 2544 2756 3392 4134 4992 5088 5512 6784 8268 10176 11024 16536 20352 22048 33072 44096 66144 88192 132288 264576 337279 674558 1011837 1349116 2023674 2698232 4047348 4384627 5396464 8094696 8769254 10792928 13153881 16189392 17538508 17875787 21585856 26307762 32378784 35077016 35751574 43171712 52615524 53627361 64757568 70154032 71503148 105231048 107254722 129515136 140308064 143006296 210462096 214509444 232385231 280616128 286012592 420924192 429018888 464770462 561232256 572025184 697155693 841848384 858037776 929540924 1144050368 1394311386 1683696768 1716075552 1859081848 2288100736 2788622772 3432151104 3718163696 5577245544 6864302208 7436327392 11154491088 14872654784 22308982176 29745309568 44617964352 89235928704