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5627469687984 = 2432291399963241
BaseRepresentation
bin101000111100011111101…
…0101001110110010110000
3201220222111001000220201200
41101320333111032302300
51214200024220003414
615545120205331200
71120366642052064
oct121707725166260
921828431026650
105627469687984
11187a661a27231
1276a784266b00
1331a88bb03401
14156529db3aa4
159b5b3ea1109
hex51e3f54ecb0

5627469687984 has 120 divisors (see below), whose sum is σ = 16303834092000. Its totient is φ = 1809843194880.

The previous prime is 5627469687977. The next prime is 5627469687997. The reversal of 5627469687984 is 4897869647265.

5627469687984 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 469 + 6 + 8 + 79 + 84 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5360604 + ... + 6323844.

It is an arithmetic number, because the mean of its divisors is an integer number (135865284100).

Almost surely, 25627469687984 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 5627469687984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151917046000).

5627469687984 is an abundant number, since it is smaller than the sum of its proper divisors (10676364404016).

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

5627469687984 is a wasteful number, since it uses less digits than its factorization.

5627469687984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964683 (or 964674 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 5627469687984 in words is "five trillion, six hundred twenty-seven billion, four hundred sixty-nine million, six hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 1399 2088 2798 4176 4197 5596 8394 11192 12591 16788 22384 25182 33576 40571 50364 67152 81142 100728 121713 162284 201456 243426 324568 365139 486852 649136 730278 963241 973704 1460556 1926482 1947408 2889723 2921112 3852964 5779446 5842224 7705928 8669169 11558892 15411856 17338338 23117784 27933989 34676676 46235568 55867978 69353352 83801967 111735956 138706704 167603934 223471912 251405901 335207868 446943824 502811802 670415736 1005623604 1340831472 1347574159 2011247208 2695148318 4022494416 4042722477 5390296636 8085444954 10780593272 12128167431 16170889908 21561186544 24256334862 32341779816 39079650611 48512669724 64683559632 78159301222 97025339448 117238951833 156318602444 194050678896 234477903666 312637204888 351716855499 468955807332 625274409776 703433710998 937911614664 1406867421996 1875823229328 2813734843992 5627469687984