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85813290297 = 347198989501
BaseRepresentation
bin100111111101011011…
…1101110010100111001
322012111110211211010000
41033322313232110321
52401221200242142
6103231100343213
76125350634550
oct1177267562471
9265443754100
1085813290297
1133436402129
121476a844b09
13812761a967
144220c64d97
152373a2514c
hex13fadee539

85813290297 has 80 divisors (see below), whose sum is σ = 155948284800. Its totient is φ = 45932832000.

The previous prime is 85813290263. The next prime is 85813290301. The reversal of 85813290297 is 79209231858.

85813290297 is a `hidden beast` number, since 8 + 58 + 13 + 290 + 297 = 666.

It is not a de Polignac number, because 85813290297 - 232 = 81518323001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85813290257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 914047 + ... + 1003547.

It is an arithmetic number, because the mean of its divisors is an integer number (1949353560).

Almost surely, 285813290297 is an apocalyptic number.

It is an amenable number.

85813290297 is a deficient number, since it is larger than the sum of its proper divisors (70134994503).

85813290297 is a wasteful number, since it uses less digits than its factorization.

85813290297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89628 (or 89619 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 85813290297 in words is "eighty-five billion, eight hundred thirteen million, two hundred ninety thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 19 21 27 57 63 81 89 133 171 189 267 399 513 567 623 801 1197 1539 1691 1869 2403 3591 5073 5607 7209 10773 11837 15219 16821 35511 45657 50463 89501 106533 136971 268503 319599 626507 805509 958797 1700519 1879521 2416527 5101557 5638563 7249581 7965589 11903633 15304671 16915689 23896767 35710899 45914013 50747067 55759123 71690301 107132697 137742039 151346191 167277369 215070903 321398091 454038573 501832107 645212709 964194273 1059423337 1362115719 1505496321 3178270011 4086347157 4516488963 9534810033 12259041471 28604430099 85813290297