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90849796569 = 32723124632
BaseRepresentation
bin101010010011100010…
…0011110000111011001
322200111110220211212100
41110213010132013121
52442030021442234
6105422534234013
76364225346400
oct1244704360731
9280443824770
1090849796569
1135590383904
12157354b5909
13874abbba9c
14457bb0a637
15256ac8d399
hex152711e1d9

90849796569 has 81 divisors (see below), whose sum is σ = 158076914229. Its totient is φ = 50131010160.

The previous prime is 90849796549. The next prime is 90849796619. The reversal of 90849796569 is 96569794809.

The square root of 90849796569 is 301413.

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

It is a de Polignac number, because none of the positive numbers 2k-90849796569 is a prime.

It is a super-2 number, since 2×908497965692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90849796497 and 90849796506.

It is not an unprimeable number, because it can be changed into a prime (90849796549) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 196219632 + ... + 196220094.

Almost surely, 290849796569 is an apocalyptic number.

90849796569 is the 301413-rd square number.

90849796569 is the 150707-th centered octagonal number.

It is an amenable number.

90849796569 is a deficient number, since it is larger than the sum of its proper divisors (67227117660).

90849796569 is an equidigital number, since it uses as much as digits as its factorization.

90849796569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 90849796569 in words is "ninety billion, eight hundred forty-nine million, seven hundred ninety-six thousand, five hundred sixty-nine".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 279 441 463 651 961 1389 1519 1953 2883 3241 4167 4557 6727 8649 9723 13671 14353 20181 22687 29169 43059 47089 60543 68061 100471 129177 141267 204183 214369 301413 423801 444943 643107 703297 904239 1334829 1500583 1929321 2109891 3114601 4004487 4501749 6329673 6645439 9343803 10504081 13505247 19936317 21802207 28031409 31512243 46518073 59808951 65406621 94536729 139554219 196219863 206008609 325626511 418662657 618025827 976879533 1442060263 1854077481 2930638599 4326180789 10094421841 12978542367 30283265523 90849796569