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89197309296 = 24331578591531
BaseRepresentation
bin101001100010010010…
…0101110110101110000
322112020022110210111000
41103010210232311300
52430134002344141
6104550543522000
76305251422264
oct1230444566560
9275208423430
1089197309296
1134912612747
1215353bb9300
138546739774
1444624720a4
1524c0b725b6
hex14c492ed70

89197309296 has 160 divisors (see below), whose sum is σ = 258128518400. Its totient is φ = 29489391360.

The previous prime is 89197309181. The next prime is 89197309337. The reversal of 89197309296 is 69290379198.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58260051 + ... + 58261581.

It is an arithmetic number, because the mean of its divisors is an integer number (1613303240).

Almost surely, 289197309296 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 89197309296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129064259200).

89197309296 is an abundant number, since it is smaller than the sum of its proper divisors (168931209104).

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

89197309296 is a wasteful number, since it uses less digits than its factorization.

89197309296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 63.

The spelling of 89197309296 in words is "eighty-nine billion, one hundred ninety-seven million, three hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 859 942 1256 1413 1531 1718 1884 2512 2577 2826 3062 3436 3768 4239 4593 5154 5652 6124 6872 7536 7731 8478 9186 10308 11304 12248 13744 13779 15462 16956 18372 20616 22608 23193 24496 27558 30924 33912 36744 41232 41337 46386 55116 61848 67824 73488 82674 92772 110232 123696 134863 165348 185544 220464 240367 269726 330696 371088 404589 480734 539452 661392 721101 809178 961468 1078904 1213767 1315129 1442202 1618356 1922936 2157808 2163303 2427534 2630258 2884404 3236712 3641301 3845872 3945387 4326606 4855068 5260516 5768808 6473424 6489909 7282602 7890774 8653212 9710136 10521032 11537616 11836161 12979818 14565204 15781548 17306424 19420272 21042064 23672322 25959636 29130408 31563096 34612848 35508483 47344644 51919272 58260816 63126192 71016966 94689288 103838544 142033932 189378576 206475253 284067864 412950506 568135728 619425759 825901012 1238851518 1651802024 1858277277 2477703036 3303604048 3716554554 4955406072 5574831831 7433109108 9910812144 11149663662 14866218216 22299327324 29732436432 44598654648 89197309296