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89002578889 = 721722321092
BaseRepresentation
bin101001011100011110…
…1111001001111001001
322111201202001110120201
41102320331321033021
52424234130011024
6104515350052201
76300365303200
oct1227075711711
9274652043521
1089002578889
11348226a9924
12152ba94a061
1385152a8b83
144444662237
1524ada09744
hex14b8f793c9

89002578889 has 81 divisors (see below), whose sum is σ = 116036271477. Its totient is φ = 68048563968.

The previous prime is 89002578817. The next prime is 89002578893. The reversal of 89002578889 is 98887520098.

It is a happy number.

The square root of 89002578889 is 298333.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20301975225 + 68700603664 = 142485^2 + 262108^2 .

It is not a de Polignac number, because 89002578889 - 215 = 89002546121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 89002578889.

It is not an unprimeable number, because it can be changed into a prime (89002578089) 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, 816537367 + ... + 816537475.

Almost surely, 289002578889 is an apocalyptic number.

89002578889 is the 298333-rd square number.

89002578889 is the 149167-th centered octagonal number.

It is an amenable number.

89002578889 is a deficient number, since it is larger than the sum of its proper divisors (27033692588).

89002578889 is a wasteful number, since it uses less digits than its factorization.

89002578889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 64.

Multiplying 89002578889 by its sum of digits (64), we get a square (5696165048896 = 23866642).

The spelling of 89002578889 in words is "eighty-nine billion, two million, five hundred seventy-eight thousand, eight hundred eighty-nine".

Divisors: 1 7 17 23 49 109 119 161 289 391 529 763 833 1127 1853 2023 2507 2737 3703 5341 6647 8993 11881 12971 14161 17549 19159 25921 31501 42619 46529 57661 62951 83167 90797 122843 152881 201977 220507 273263 298333 325703 403627 440657 582169 724523 980237 1070167 1413839 1543549 1912841 2088331 2825389 3433609 4645471 5071661 6285049 6861659 7491169 9896873 13389887 16664029 24035263 32518297 35501627 43995343 48031613 78973007 106845833 116648203 168246841 227628079 307967401 552811049 747920831 816537421 1816379161 3869677343 5235445817 12714654127 89002578889