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85851018264 = 233112373319289
BaseRepresentation
bin100111111110100011…
…1101001010000011000
322012121002211121011010
41033331013221100120
52401310330041024
6103234525133520
76126316420614
oct1177507512030
9265532747133
1085851018264
1133455730770
121477b3ba2a0
13813239a2bb
144225c86344
152376ec8b29
hex13fd1e9418

85851018264 has 128 divisors (see below), whose sum is σ = 244665100800. Its totient is φ = 24849116160.

The previous prime is 85851018263. The next prime is 85851018271. The reversal of 85851018264 is 46281015858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85851018263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4441132 + ... + 4460420.

It is an arithmetic number, because the mean of its divisors is an integer number (1911446100).

Almost surely, 285851018264 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 85851018264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122332550400).

85851018264 is an abundant number, since it is smaller than the sum of its proper divisors (158814082536).

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

85851018264 is a wasteful number, since it uses less digits than its factorization.

85851018264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20065 (or 20061 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 85851018264 in words is "eighty-five billion, eight hundred fifty-one million, eighteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 733 759 1012 1466 1518 2024 2199 2932 3036 4398 5864 6072 8063 8796 16126 16859 17592 19289 24189 32252 33718 38578 48378 50577 57867 64504 67436 77156 96756 101154 115734 134872 154312 185449 193512 202308 212179 231468 370898 404616 424358 443647 462936 556347 636537 741796 848716 887294 1112694 1273074 1330941 1483592 1697432 1774588 2225388 2546148 2661882 3549176 4450776 4880117 5092296 5323764 9760234 10647528 14138837 14640351 19520468 28277674 29280702 39040936 42416511 56555348 58561404 84833022 113110696 117122808 155527207 169666044 311054414 325193251 339332088 466581621 622108828 650386502 933163242 975579753 1244217656 1300773004 1866326484 1951159506 2601546008 3577125761 3732652968 3902319012 7154251522 7804638024 10731377283 14308503044 21462754566 28617006088 42925509132 85851018264