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89465595664 = 24372432472
BaseRepresentation
bin101001101010010010…
…0001010011100010000
322112221000022011012011
41103110210022130100
52431211143030124
6105033330112304
76315020005264
oct1232444123420
9275830264164
1089465595664
1134a3aaa6215
1215409a1b694
13858a1b25b3
144489d4c0a4
1524d94b9994
hex14d490a710

89465595664 has 135 divisors (see below), whose sum is σ = 186353676117. Its totient is φ = 41607119232.

The previous prime is 89465595647. The next prime is 89465595673. The reversal of 89465595664 is 46659556498.

The square root of 89465595664 is 299108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80055043600 + 9410552064 = 282940^2 + 97008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89465595664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1903523289 + ... + 1903523335.

Almost surely, 289465595664 is an apocalyptic number.

89465595664 is the 299108-th square number.

It is an amenable number.

89465595664 is an abundant number, since it is smaller than the sum of its proper divisors (96888080453).

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

89465595664 is an equidigital number, since it uses as much as digits as its factorization.

89465595664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 129 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 67.

The spelling of 89465595664 in words is "eighty-nine billion, four hundred sixty-five million, five hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 37 43 47 74 86 94 148 172 188 296 344 376 592 688 752 1369 1591 1739 1849 2021 2209 2738 3182 3478 3698 4042 4418 5476 6364 6956 7396 8084 8836 10952 12728 13912 14792 16168 17672 21904 25456 27824 29584 32336 35344 58867 64343 68413 74777 81733 86903 94987 117734 128686 136826 149554 163466 173806 189974 235468 257372 273652 299108 326932 347612 379948 470936 514744 547304 598216 653864 695224 759896 941872 1029488 1094608 1196432 1307728 1390448 1519792 2531281 2766749 3024121 3215411 3514519 4084441 5062562 5533498 6048242 6430822 7029038 8168882 10125124 11066996 12096484 12861644 14058076 16337764 20250248 22133992 24192968 25723288 28116152 32675528 40500496 44267984 48385936 51446576 56232304 65351056 118970207 130037203 151124317 237940414 260074406 302248634 475880828 520148812 604497268 951761656 1040297624 1208994536 1903523312 2080595248 2417989072 5591599729 11183199458 22366398916 44732797832 89465595664