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82796275440 = 2434512777203
BaseRepresentation
bin100110100011100001…
…0101110011011110000
321220201012210120210000
41031013002232123300
52324031321303230
6102011443310000
75660524505064
oct1150702563360
9256635716700
1082796275440
113212838021a
121406837b300
137a66559978
1440162adaa4
152248c1eb60
hex13470ae6f0

82796275440 has 100 divisors (see below), whose sum is σ = 287563753224. Its totient is φ = 22079005056.

The previous prime is 82796275409. The next prime is 82796275453. The reversal of 82796275440 is 4457269728.

82796275440 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 627 + 5 + 4 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6382122 + ... + 6395081.

Almost surely, 282796275440 is an apocalyptic number.

82796275440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82796275440 is an abundant number, since it is smaller than the sum of its proper divisors (204767477784).

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

82796275440 is a wasteful number, since it uses less digits than its factorization.

82796275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12777228 (or 12777213 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 82796275440 in words is "eighty-two billion, seven hundred ninety-six million, two hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 12777203 25554406 38331609 51108812 63886015 76663218 102217624 114994827 127772030 153326436 191658045 204435248 229989654 255544060 306652872 344984481 383316090 459979308 511088120 574974135 613305744 689968962 766632180 919958616 1022176240 1034953443 1149948270 1379937924 1533264360 1724922405 1839917232 2069906886 2299896540 2759875848 3066528720 3449844810 4139813772 4599793080 5174767215 5519751696 6899689620 8279627544 9199586160 10349534430 13799379240 16559255088 20699068860 27598758480 41398137720 82796275440