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85247790656 = 2671922744119
BaseRepresentation
bin100111101100100101…
…0100000111001000000
322011001001202110102212
41033121022200321000
52344041413300111
6103055020001252
76105343156550
oct1173112407100
9264031673385
1085247790656
1133176178956
1214631390228
1380674115a2
1441a9add160
15233e06e98b
hex13d92a0e40

85247790656 has 112 divisors (see below), whose sum is σ = 204406195200. Its totient is φ = 34458628608.

The previous prime is 85247790643. The next prime is 85247790721. The reversal of 85247790656 is 65609774258.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (59) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85247790595 and 85247790604.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1910165 + ... + 1954283.

Almost surely, 285247790656 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 85247790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102203097600).

85247790656 is an abundant number, since it is smaller than the sum of its proper divisors (119158404544).

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

85247790656 is a wasteful number, since it uses less digits than its factorization.

85247790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44384 (or 44374 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 85247790656 in words is "eighty-five billion, two hundred forty-seven million, seven hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 227 266 304 448 454 532 608 908 1064 1216 1589 1816 2128 3178 3632 4256 4313 6356 7264 8512 8626 12712 14528 17252 25424 30191 34504 44119 50848 60382 69008 88238 101696 120764 138016 176476 241528 276032 308833 352952 483056 617666 705904 838261 966112 1235332 1411808 1676522 1932224 2470664 2823616 3353044 4941328 5867827 6706088 9882656 10015013 11735654 13412176 19765312 20030026 23471308 26824352 40060052 46942616 53648704 70105091 80120104 93885232 140210182 160240208 187770464 190285247 280420364 320480416 375540928 380570494 560840728 640960832 761140988 1121681456 1331996729 1522281976 2243362912 2663993458 3044563952 4486725824 5327986916 6089127904 10655973832 12178255808 21311947664 42623895328 85247790656