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190421168314824 = 233322737907102451
BaseRepresentation
bin101011010010111111100010…
…000110000101100111001000
3220222020002022121212222122000
4223102333202012011213020
5144424330023042033244
61512554135503031000
755052322031355616
oct5322774206054710
9828202277788560
10190421168314824
1155746189275997
1219434a93b9b460
1382338401c8a85
1435046101c26b6
15170345913d169
hexad2fe21859c8

190421168314824 has 128 divisors (see below), whose sum is σ = 531297056908800. Its totient is φ = 63191818958400.

The previous prime is 190421168314753. The next prime is 190421168314829. The reversal of 190421168314824 is 428413861124091.

190421168314824 is a `hidden beast` number, since 1 + 9 + 0 + 42 + 116 + 8 + 3 + 1 + 482 + 4 = 666.

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 (190421168314829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858604799 + ... + 1858707249.

It is an arithmetic number, because the mean of its divisors is an integer number (4150758257100).

Almost surely, 2190421168314824 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 190421168314824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265648528454400).

190421168314824 is an abundant number, since it is smaller than the sum of its proper divisors (340875888593976).

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

190421168314824 is a wasteful number, since it uses less digits than its factorization.

190421168314824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140600 (or 140590 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 190421168314824 in words is "one hundred ninety trillion, four hundred twenty-one billion, one hundred sixty-eight million, three hundred fourteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 16344 24516 37907 49032 75814 102451 113721 151628 204902 227442 303256 307353 341163 409804 454884 614706 682326 819608 909768 922059 1023489 1229412 1364652 1844118 2046978 2458824 2729304 2766177 3688236 4093956 5532354 7376472 8187912 8604889 11064708 17209778 22129416 23256377 25814667 34419556 46512754 51629334 68839112 69769131 77444001 93025508 103258668 139538262 154888002 186051016 206517336 209307393 232332003 279076524 309776004 418614786 464664006 558153048 619552008 627922179 837229572 929328012 1255844358 1674459144 1858656024 2511688716 3883610057 5023377432 7767220114 11650830171 15534440228 23301660342 31068880456 34952490513 46603320684 69904981026 93206641368 104857471539 139809962052 209714943078 279619924104 419429886156 838859772312 881579482939 1763158965878 2644738448817 3526317931756 5289476897634 7052635863512 7934215346451 10578953795268 15868430692902 21157907590536 23802646039353 31736861385804 47605292078706 63473722771608 95210584157412 190421168314824