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842221990404 = 223397123165309
BaseRepresentation
bin11000100000110000101…
…01111011001000000100
32222111220220021002022000
430100120111323020010
5102244332312143104
61442524512105300
7114564021540654
oct14203025731004
92874826232260
10842221990404
112a52033a2043
1211728a535230
136156248c952
142ca99a96364
1516d94ddb639
hexc41857b204

842221990404 has 96 divisors (see below), whose sum is σ = 2207875084800. Its totient is φ = 277616471040.

The previous prime is 842221990373. The next prime is 842221990409. The reversal of 842221990404 is 404099122248.

842221990404 is a `hidden beast` number, since 8 + 4 + 22 + 219 + 9 + 0 + 404 = 666.

It is a super-2 number, since 2×8422219904042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 842221990404.

It is not an unprimeable number, because it can be changed into a prime (842221990409) 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, 12863302 + ... + 12928610.

It is an arithmetic number, because the mean of its divisors is an integer number (22998698800).

Almost surely, 2842221990404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842221990404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103937542400).

842221990404 is an abundant number, since it is smaller than the sum of its proper divisors (1365653094396).

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

842221990404 is a wasteful number, since it uses less digits than its factorization.

842221990404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66650 (or 66642 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 842221990404 in words is "eight hundred forty-two billion, two hundred twenty-one million, nine hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1231 1746 2462 2619 3492 3693 4924 5238 7386 10476 11079 14772 22158 33237 44316 65309 66474 119407 130618 132948 195927 238814 261236 358221 391854 477628 587781 716442 783708 1074663 1175562 1432884 1763343 2149326 2351124 3223989 3526686 4298652 6334973 6447978 7053372 12669946 12895956 19004919 25339892 38009838 57014757 76019676 80395379 114029514 160790758 171044271 228059028 241186137 321581516 342088542 482372274 684177084 723558411 964744548 1447116822 2170675233 2894233644 4341350466 7798351763 8682700932 15596703526 23395055289 31193407052 46790110578 70185165867 93580221156 140370331734 210555497601 280740663468 421110995202 842221990404