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812050228801 = 72233127310271
BaseRepresentation
bin10111101000100011111…
…01110010011001000001
32212122001011202210022001
423310101331302121001
5101301034324310201
61421014542344001
7112445235025300
oct13642175623101
92778034683261
10812050228801
11293430202a79
12111469b8b001
135b764649786
142b4368da437
15161cb185301
hexbd11f72641

812050228801 has 72 divisors (see below), whose sum is σ = 1032576118272. Its totient is φ = 635415580800.

The previous prime is 812050228777. The next prime is 812050228837. The reversal of 812050228801 is 108822050218.

812050228801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 812050228801 - 27 = 812050228673 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (812050228861) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79057296 + ... + 79067566.

It is an arithmetic number, because the mean of its divisors is an integer number (14341334976).

Almost surely, 2812050228801 is an apocalyptic number.

It is an amenable number.

812050228801 is a deficient number, since it is larger than the sum of its proper divisors (220525889471).

812050228801 is a wasteful number, since it uses less digits than its factorization.

812050228801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10443 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 812050228801 in words is "eight hundred twelve billion, fifty million, two hundred twenty-eight thousand, eight hundred one".

Divisors: 1 7 23 31 49 73 161 217 511 713 961 1127 1519 1679 2263 3577 4991 6727 10271 11753 15841 22103 34937 47089 52049 70153 71897 82271 110887 154721 236233 318401 364343 491071 503279 749783 1083047 1613519 1653631 2228807 2550401 3437497 5248481 7323223 9870431 11294633 11575417 15601649 17245009 23243273 36739367 51262561 69093017 79062431 120715063 162702911 227019913 358837927 483651119 534595279 720541463 845005441 1138920377 1589139391 3742166953 5043790241 11123975737 16572453649 26195168671 35306531687 116007175543 812050228801