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88965399328 = 25131724331709
BaseRepresentation
bin101001011011011000…
…0000100001100100000
322111122011002112210221
41102312300010030200
52424200120234303
6104511541132424
76266434263031
oct1226660041440
9274564075727
1088965399328
1134803715313
12152aa3ba114
13850a68c030
14443d744a88
1524aa6134bd
hex14b6c04320

88965399328 has 144 divisors (see below), whose sum is σ = 200952216360. Its totient is φ = 38533791744.

The previous prime is 88965399301. The next prime is 88965399329. The reversal of 88965399328 is 82399356988.

It can be written as a sum of positive squares in 12 ways, for example, as 929762064 + 88035637264 = 30492^2 + 296708^2 .

It is not an unprimeable number, because it can be changed into a prime (88965399329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52056138 + ... + 52057846.

Almost surely, 288965399328 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 88965399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100476108180).

88965399328 is an abundant number, since it is smaller than the sum of its proper divisors (111986817032).

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

88965399328 is a wasteful number, since it uses less digits than its factorization.

88965399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2174 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 70.

The spelling of 88965399328 in words is "eighty-eight billion, nine hundred sixty-five million, three hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 433 442 544 578 866 884 1156 1709 1732 1768 2312 3418 3464 3536 3757 4624 5629 6836 6928 7072 7361 7514 9248 11258 13672 13856 14722 15028 22217 22516 27344 29053 29444 30056 44434 45032 54688 58106 58888 60112 88868 90064 95693 116212 117776 120224 125137 177736 180128 191386 232424 235552 250274 355472 377689 382772 464848 493901 500548 710944 739997 755378 765544 929696 987802 1001096 1479994 1510756 1531088 1626781 1975604 2002192 2959988 3021512 3062176 3253562 3951208 4004384 5919976 6043024 6420713 6507124 7902416 9619961 11839952 12086048 12579949 12841426 13014248 15804832 19239922 23679904 25159898 25682852 26028496 38479844 50319796 51365704 52056992 76959688 100639592 102731408 153919376 163539337 201279184 205462816 213859133 307838752 327078674 402558368 427718266 654157348 855436532 1308314696 1710873064 2616629392 2780168729 3421746128 5233258784 5560337458 6843492256 11120674916 22241349832 44482699664 88965399328