Search a number
-
+
82853211285 = 33513311522897
BaseRepresentation
bin100110100101001101…
…1111010110010010101
321220212011221020002000
41031022123322302111
52324140410230120
6102021235505513
75662115450565
oct1151233726225
9256764836060
1082853211285
1132157528a39
1214083458299
137a752a3010
14401da90da5
15224dc19990
hex134a6fac95

82853211285 has 64 divisors (see below), whose sum is σ = 163741992960. Its totient is φ = 39473464320.

The previous prime is 82853211277. The next prime is 82853211293. The reversal of 82853211285 is 58211235828.

82853211285 is a `hidden beast` number, since 8 + 28 + 532 + 1 + 12 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (82853211277) and next prime (82853211293).

It is not a de Polignac number, because 82853211285 - 23 = 82853211277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82853211285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707044 + ... + 815853.

It is an arithmetic number, because the mean of its divisors is an integer number (2558468640).

Almost surely, 282853211285 is an apocalyptic number.

It is an amenable number.

82853211285 is a deficient number, since it is larger than the sum of its proper divisors (80888781675).

82853211285 is a wasteful number, since it uses less digits than its factorization.

82853211285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522955 (or 1522949 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 82853211285 in words is "eighty-two billion, eight hundred fifty-three million, two hundred eleven thousand, two hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 93 117 135 155 195 279 351 403 465 585 837 1209 1395 1755 2015 3627 4185 6045 10881 18135 54405 1522897 4568691 7614485 13706073 19797661 22843455 41118219 47209807 59392983 68530365 98988305 141629421 178178949 205591095 236049035 296964915 424888263 534536847 613727491 708147105 890894745 1274664789 1841182473 2124441315 2672684235 3068637455 5523547419 6373323945 9205912365 16570642257 27617737095 82853211285