Search a number
-
+
89604084636 = 2232111721436211
BaseRepresentation
bin101001101110011010…
…0011101001110011100
322120021122220010100100
41103130310131032130
52432002121202021
6105055154301100
76321321103233
oct1233464351634
9276248803310
1089604084636
1135001196010
1215448287790
1385acab0c31
1444a04bbb1a
1524e6723626
hex14dcd1d39c

89604084636 has 144 divisors (see below), whose sum is σ = 261788986368. Its totient is φ = 25539494400.

The previous prime is 89604084617. The next prime is 89604084637. The reversal of 89604084636 is 63648040698.

89604084636 is a `hidden beast` number, since 89 + 60 + 40 + 8 + 463 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89604084637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14423571 + ... + 14429781.

It is an arithmetic number, because the mean of its divisors is an integer number (1817979072).

Almost surely, 289604084636 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 89604084636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130894493184).

89604084636 is an abundant number, since it is smaller than the sum of its proper divisors (172184901732).

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

89604084636 is a wasteful number, since it uses less digits than its factorization.

89604084636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 89604084636 in words is "eighty-nine billion, six hundred four million, eighty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2143 2244 3366 4286 6211 6429 6732 8572 12422 12858 18633 19287 23573 24844 25716 36431 37266 38574 47146 55899 68321 70719 72862 74532 77148 94292 105587 109293 111798 136642 141438 145724 204963 211174 212157 218586 223596 273284 282876 316761 327879 400741 409926 422348 424314 437172 614889 633522 655758 801482 819852 848628 950283 1161457 1202223 1229778 1267044 1311516 1602964 1900566 2322914 2404446 2459556 3484371 3606669 3801132 4645828 4808892 6968742 7213338 10453113 13310173 13937484 14426676 20906226 26620346 39930519 41812452 53240692 79861038 119791557 146411903 159722076 226272941 239583114 292823806 439235709 452545882 479166228 585647612 678818823 878471418 905091764 1317707127 1357637646 1756942836 2036456469 2489002351 2635414254 2715275292 4072912938 4978004702 5270828508 7467007053 8145825876 9956009404 14934014106 22401021159 29868028212 44802042318 89604084636