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80822074752432 = 24331314391395077
BaseRepresentation
bin10010011000000111011011…
…000011100011110110110000
3101121011111220100112101011000
4102120013123003203312300
541043142102114034212
6443521052031322000
723011126233200226
oct2230073303436660
9347144810471130
1080822074752432
11238304a4197092
129093a39380300
1336136482a4580
1415d5b48998b16
1595257abc31dc
hex4981db0e3db0

80822074752432 has 80 divisors (see below), whose sum is σ = 249834618554080. Its totient is φ = 24868330691328.

The previous prime is 80822074752431. The next prime is 80822074752443. The reversal of 80822074752432 is 23425747022808.

80822074752432 is a `hidden beast` number, since 8 + 0 + 82 + 2 + 0 + 7 + 4 + 7 + 524 + 32 = 666.

It is a super-4 number, since 4×808220747524324 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (80822074752431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7195691923 + ... + 7195703154.

It is an arithmetic number, because the mean of its divisors is an integer number (3122932731926).

Almost surely, 280822074752432 is an apocalyptic number.

It is an amenable number.

80822074752432 is an abundant number, since it is smaller than the sum of its proper divisors (169012543801648).

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

80822074752432 is a wasteful number, since it uses less digits than its factorization.

80822074752432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14391395107 (or 14391395095 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 80822074752432 in words is "eighty trillion, eight hundred twenty-two billion, seventy-four million, seven hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 14391395077 28782790154 43174185231 57565580308 86348370462 115131160616 129522555693 172696740924 187088136001 230262321232 259045111386 345393481848 374176272002 388567667079 518090222772 561264408003 690786963696 748352544004 777135334158 1036180445544 1122528816006 1496705088008 1554270668316 1683793224009 2072360891088 2245057632012 2993410176016 3108541336632 3367586448018 4490115264024 5051379672027 6217082673264 6735172896036 8980230528048 10102759344054 13470345792072 20205518688108 26940691584144 40411037376216 80822074752432