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89122706720 = 25517257127493
BaseRepresentation
bin101001100000000100…
…0001001010100100000
322112001010002120222122
41103000020021110200
52430010403103340
6104535320523412
76303354336125
oct1230010112440
9275033076878
1089122706720
1134884498723
1215333020568
138534149028
1444565b274c
1524b9337db5
hex14c0209520

89122706720 has 96 divisors (see below), whose sum is σ = 223807047408. Its totient is φ = 33421262848.

The previous prime is 89122706689. The next prime is 89122706723. The reversal of 89122706720 is 2760722198.

It can be written as a sum of positive squares in 8 ways, for example, as 80172789904 + 8949916816 = 283148^2 + 94604^2 .

It is not an unprimeable number, because it can be changed into a prime (89122706723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635294 + ... + 762786.

Almost surely, 289122706720 is an apocalyptic number.

89122706720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89122706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111903523704).

89122706720 is an abundant number, since it is smaller than the sum of its proper divisors (134684340688).

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

89122706720 is a wasteful number, since it uses less digits than its factorization.

89122706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127782 (or 127774 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 89122706720 in words is "eighty-nine billion, one hundred twenty-two million, seven hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 257 272 340 514 544 680 1028 1285 1360 2056 2570 2720 4112 4369 5140 8224 8738 10280 17476 20560 21845 34952 41120 43690 69904 87380 127493 139808 174760 254986 349520 509972 637465 699040 1019944 1274930 2039888 2167381 2549860 4079776 4334762 5099720 8669524 10199440 10836905 17339048 20398880 21673810 32765701 34678096 43347620 65531402 69356192 86695240 131062804 163828505 173390480 262125608 327657010 346780960 524251216 557016917 655314020 1048502432 1114033834 1310628040 2228067668 2621256080 2785084585 4456135336 5242512160 5570169170 8912270672 11140338340 17824541344 22280676680 44561353360 89122706720