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85264312896 = 2632721146903
BaseRepresentation
bin100111101101000100…
…1100010101001000000
322011002012211212200200
41033122021202221000
52344110131003041
6103100410045200
76105633462420
oct1173211425100
9264065755620
1085264312896
11331845332a4
1214636a19800
13806a977a69
1441abda0480
1523407351b6
hex13da262a40

85264312896 has 84 divisors (see below), whose sum is σ = 279308308032. Its totient is φ = 24361231104.

The previous prime is 85264312891. The next prime is 85264312901. The reversal of 85264312896 is 69821346258.

85264312896 is a `hidden beast` number, since 8 + 526 + 4 + 3 + 1 + 28 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (85264312891) and next prime (85264312901).

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (85264312891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10569420 + ... + 10577483.

Almost surely, 285264312896 is an apocalyptic number.

It is an amenable number.

85264312896 is an abundant number, since it is smaller than the sum of its proper divisors (194043995136).

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

85264312896 is a wasteful number, since it uses less digits than its factorization.

85264312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21146928 (or 21146915 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 85264312896 in words is "eighty-five billion, two hundred sixty-four million, three hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 21146903 42293806 63440709 84587612 126881418 148028321 169175224 190322127 253762836 296056642 338350448 380644254 444084963 507525672 592113284 676700896 761288508 888169926 1015051344 1184226568 1332254889 1353401792 1522577016 1776339852 2030102688 2368453136 2664509778 3045154032 3552679704 4060205376 4736906272 5329019556 6090308064 7105359408 9473812544 10658039112 12180616128 14210718816 21316078224 28421437632 42632156448 85264312896