Search a number
-
+
5224685463684 = 22323121307115547
BaseRepresentation
bin100110000000111011110…
…0001010110100010000100
3200111110211022110022000100
41030001313201112202010
51141100123434314214
615040104245444100
71046320401456051
oct114016741264204
920443738408010
105224685463684
11173485a811a15
127046b4710630
132bb8bb6cc58b
14140c3a136028
1590d8ce37309
hex4c077856884

5224685463684 has 108 divisors (see below), whose sum is σ = 13657173212592. Its totient is φ = 1684078328160.

The previous prime is 5224685463649. The next prime is 5224685463707. The reversal of 5224685463684 is 4863645864225.

5224685463684 is a `hidden beast` number, since 5 + 2 + 2 + 4 + 6 + 8 + 546 + 3 + 6 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45159199 + ... + 45274745.

It is an arithmetic number, because the mean of its divisors is an integer number (126455307524).

Almost surely, 25224685463684 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 5224685463684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828586606296).

5224685463684 is an abundant number, since it is smaller than the sum of its proper divisors (8432487748908).

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

5224685463684 is a wasteful number, since it uses less digits than its factorization.

5224685463684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116926 (or 116890 counting only the distinct ones).

The product of its digits is 265420800, while the sum is 63.

The spelling of 5224685463684 in words is "five trillion, two hundred twenty-four billion, six hundred eighty-five million, four hundred sixty-three thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 961 1116 1307 1922 2614 2883 3844 3921 5228 5766 7842 8649 11532 11763 15684 17298 23526 34596 40517 47052 81034 115547 121551 162068 231094 243102 346641 364653 462188 486204 693282 729306 1039923 1256027 1386564 1458612 2079846 2512054 3581957 3768081 4159692 5024108 7163914 7536162 10745871 11304243 14327828 15072324 21491742 22608486 32237613 42983484 45216972 64475226 111040667 128950452 151019929 222081334 302039858 333122001 444162668 453059787 604079716 666244002 906119574 999366003 1332488004 1359179361 1812239148 1998732006 2718358722 3997464012 4681617799 5436717444 9363235598 14044853397 18726471196 28089706794 42134560191 56179413588 84269120382 145130151769 168538240764 290260303538 435390455307 580520607076 870780910614 1306171365921 1741561821228 2612342731842 5224685463684