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85336509080 = 23567139277827
BaseRepresentation
bin100111101111001110…
…0111100101010011000
322011021020200211020102
41033132130330222120
52344232121242310
6103111505314532
76110501234054
oct1173634745230
9264236624212
1085336509080
1133211264369
1214657035a48
13807c9050b4
1441b77d4c64
152346c468a5
hex13de73ca98

85336509080 has 128 divisors (see below), whose sum is σ = 197221651200. Its totient is φ = 33222486528.

The previous prime is 85336509079. The next prime is 85336509103. The reversal of 85336509080 is 8090563358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103187627 + ... + 103188453.

It is an arithmetic number, because the mean of its divisors is an integer number (1540794150).

Almost surely, 285336509080 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 85336509080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98610825600).

85336509080 is an abundant number, since it is smaller than the sum of its proper divisors (111885142120).

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

85336509080 is a wasteful number, since it uses less digits than its factorization.

85336509080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 85336509080 in words is "eighty-five billion, three hundred thirty-six million, five hundred nine thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 67 134 139 268 277 278 335 536 554 556 670 695 827 1108 1112 1340 1385 1390 1654 2216 2680 2770 2780 3308 4135 5540 5560 6616 8270 9313 11080 16540 18559 18626 33080 37118 37252 38503 46565 55409 74236 74504 77006 92795 93130 110818 114953 148472 154012 185590 186260 192515 221636 229079 229906 277045 308024 371180 372520 385030 443272 458158 459812 554090 574765 742360 770060 916316 919624 1108180 1145395 1149530 1540120 1832632 2216360 2290790 2299060 2579701 4581580 4598120 5159402 7701851 9163160 10318804 12898505 15348293 15403702 20637608 25797010 30696586 30807404 31841981 38509255 51594020 61393172 61614808 63683962 76741465 77018510 103188040 122786344 127367924 153482930 154037020 159209905 254735848 306965860 308074040 318419810 613931720 636839620 1273679240 2133412727 4266825454 8533650908 10667063635 17067301816 21334127270 42668254540 85336509080