Search a number
-
+
89736792912 = 243213107448003
BaseRepresentation
bin101001110010010111…
…0101100101101010000
322120121220121101212200
41103210232230231100
52432240104333122
6105120254523200
76324522103644
oct1234456545520
9276556541780
1089736792912
113506a097778
1215484806500
138601437340
1444b3d84c24
1525031d95ac
hex14e4bacb50

89736792912 has 120 divisors (see below), whose sum is σ = 272984965344. Its totient is φ = 27353210112.

The previous prime is 89736792811. The next prime is 89736792913. The reversal of 89736792912 is 21929763798.

It is a self number, because there is not a number n which added to its sum of digits gives 89736792912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89736792913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23698 + ... + 424305.

Almost surely, 289736792912 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 89736792912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136492482672).

89736792912 is an abundant number, since it is smaller than the sum of its proper divisors (183248172432).

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

89736792912 is a wasteful number, since it uses less digits than its factorization.

89736792912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448137 (or 448128 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 89736792912 in words is "eighty-nine billion, seven hundred thirty-six million, seven hundred ninety-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 107 117 144 156 208 214 234 312 321 428 468 624 642 856 936 963 1284 1391 1712 1872 1926 2568 2782 3852 4173 5136 5564 7704 8346 11128 12519 15408 16692 22256 25038 33384 50076 66768 100152 200304 448003 896006 1344009 1792012 2688018 3584024 4032027 5376036 5824039 7168048 8064054 10752072 11648078 16128108 17472117 21504144 23296156 32256216 34944234 46592312 47936321 52416351 64512432 69888468 93184624 95872642 104832702 139776936 143808963 191745284 209665404 279553872 287617926 383490568 419330808 431426889 575235852 623172173 766981136 838661616 862853778 1150471704 1246344346 1725707556 1869516519 2300943408 2492688692 3451415112 3739033038 4985377384 5608549557 6902830224 7478066076 9970754768 11217099114 14956132152 22434198228 29912264304 44868396456 89736792912