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812220036444 = 223323536169447
BaseRepresentation
bin10111101000111000001…
…01100011010101011100
32212122111000021220121000
423310130011203111130
5101301411312131234
61421043450110300
7112452366253305
oct13643405432534
92778430256530
10812220036444
11293508043a73
121114b6a1b390
135b79089237b
142b45129d7ac
15161db028899
hexbd1c16355c

812220036444 has 96 divisors (see below), whose sum is σ = 2238769290240. Its totient is φ = 254082464064.

The previous prime is 812220036443. The next prime is 812220036473. The reversal of 812220036444 is 444630022218.

812220036444 is a `hidden beast` number, since 8 + 1 + 2 + 2 + 2 + 0 + 0 + 3 + 644 + 4 = 666.

812220036444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 812220036399 and 812220036408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812220036443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953072 + ... + 3216375.

It is an arithmetic number, because the mean of its divisors is an integer number (23320513440).

Almost surely, 2812220036444 is an apocalyptic number.

It is an amenable number.

812220036444 is an abundant number, since it is smaller than the sum of its proper divisors (1426549253796).

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

812220036444 is a wasteful number, since it uses less digits than its factorization.

812220036444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6169536 (or 6169528 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 812220036444 in words is "eight hundred twelve billion, two hundred twenty million, thirty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 53 54 69 92 106 108 138 159 207 212 276 318 414 477 621 636 828 954 1219 1242 1431 1908 2438 2484 2862 3657 4876 5724 7314 10971 14628 21942 32913 43884 65826 131652 6169447 12338894 18508341 24677788 37016682 55525023 74033364 111050046 141897281 166575069 222100092 283794562 326980691 333150138 425691843 567589124 653961382 666300276 851383686 980942073 1277075529 1307922764 1702767372 1961884146 2554151058 2942826219 3831226587 3923768292 5108302116 5885652438 7520555893 7662453174 8828478657 11771304876 15041111786 15324906348 17656957314 22561667679 30082223572 35313914628 45123335358 67685003037 90246670716 135370006074 203055009111 270740012148 406110018222 812220036444