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6930580644 = 223513643853
BaseRepresentation
bin1100111010001100…
…00100010010100100
3122220000002222100000
412131012010102210
5103143212040034
63103414221300
7333513651321
oct63506042244
918800088300
106930580644
112a3714a8a9
121415054830
13865b0b7c0
1449a649b48
152a86a5599
hex19d1844a4

6930580644 has 144 divisors (see below), whose sum is σ = 19618743872. Its totient is φ = 2126673792.

The previous prime is 6930580597. The next prime is 6930580663. The reversal of 6930580644 is 4460850396.

6930580644 is a `hidden beast` number, since 6 + 9 + 3 + 0 + 580 + 64 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6930580644.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8124522 + ... + 8125374.

Almost surely, 26930580644 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 6930580644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809371936).

6930580644 is an abundant number, since it is smaller than the sum of its proper divisors (12688163228).

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

6930580644 is a wasteful number, since it uses less digits than its factorization.

6930580644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6930580644 is about 83250.1089729017. The cubic root of 6930580644 is about 1906.5866179221.

The spelling of 6930580644 in words is "six billion, nine hundred thirty million, five hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 643 702 853 972 1053 1286 1404 1706 1929 2106 2559 2572 3159 3412 3858 4212 5118 5787 6318 7677 7716 8359 10236 11089 11574 12636 15354 16718 17361 22178 23031 23148 25077 30708 33267 33436 34722 44356 46062 50154 52083 66534 69093 69444 75231 92124 99801 100308 104166 133068 138186 150462 156249 199602 207279 208332 225693 276372 299403 300924 312498 399204 414558 451386 548479 598806 624996 677079 829116 898209 902772 1096958 1197612 1354158 1645437 1796418 2031237 2193916 2694627 2708316 3290874 3592836 4062474 4936311 5389254 6581748 7130227 8124948 9872622 10778508 14260454 14808933 19745244 21390681 28520908 29617866 42781362 44426799 59235732 64172043 85562724 88853598 128344086 133280397 177707196 192516129 256688172 266560794 385032258 533121588 577548387 770064516 1155096774 1732645161 2310193548 3465290322 6930580644