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89485505568 = 2534269128341
BaseRepresentation
bin101001101010111000…
…0000111010000100000
322112222101202200110000
41103111300013100200
52431231242134233
6105035320540000
76315351150534
oct1232560072040
9275871680400
1089485505568
1134a50264888
1215414621600
1385913639c4
14448c851bc4
1524db0edd13
hex14d5c07420

89485505568 has 120 divisors (see below), whose sum is σ = 264154787820. Its totient is φ = 29717383680.

The previous prime is 89485505521. The next prime is 89485505579. The reversal of 89485505568 is 86550558498.

89485505568 is a `hidden beast` number, since 89 + 48 + 5 + 505 + 5 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89432098704 + 53406864 = 299052^2 + 7308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 633078 + ... + 761418.

Almost surely, 289485505568 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 89485505568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132077393910).

89485505568 is an abundant number, since it is smaller than the sum of its proper divisors (174669282252).

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

89485505568 is a wasteful number, since it uses less digits than its factorization.

89485505568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128632 (or 128615 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 89485505568 in words is "eighty-nine billion, four hundred eighty-five million, five hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 269 288 324 432 538 648 807 864 1076 1296 1614 2152 2421 2592 3228 4304 4842 6456 7263 8608 9684 12912 14526 19368 21789 25824 29052 38736 43578 58104 77472 87156 116208 128341 174312 232416 256682 348624 385023 513364 697248 770046 1026728 1155069 1540092 2053456 2310138 3080184 3465207 4106912 4620276 6160368 6930414 9240552 10395621 12320736 13860828 18481104 20791242 27721656 34523729 36962208 41582484 55443312 69047458 83164968 103571187 110886624 138094916 166329936 207142374 276189832 310713561 332659872 414284748 552379664 621427122 828569496 932140683 1104759328 1242854244 1657138992 1864281366 2485708488 2796422049 3314277984 3728562732 4971416976 5592844098 7457125464 9942833952 11185688196 14914250928 22371376392 29828501856 44742752784 89485505568