Search a number
-
+
3507874994416 = 2413292274435783
BaseRepresentation
bin110011000010111101101…
…001001001100011110000
3110102100102211200011011111
4303002331221021203300
5424433111444310131
611243255011123104
7511302261324022
oct63027551114360
913370384604144
103507874994416
111132754a91021
12487a242a3494
131c5a39333690
14c1ad3d64012
15613ab8cdab1
hex330bda498f0

3507874994416 has 160 divisors (see below), whose sum is σ = 7623547061760. Its totient is φ = 1552523062272.

The previous prime is 3507874994347. The next prime is 3507874994423. The reversal of 3507874994416 is 6144994787053.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606581061 + ... + 606586843.

It is an arithmetic number, because the mean of its divisors is an integer number (47647169136).

Almost surely, 23507874994416 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 3507874994416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811773530880).

3507874994416 is an abundant number, since it is smaller than the sum of its proper divisors (4115672067344).

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

3507874994416 is a wasteful number, since it uses less digits than its factorization.

3507874994416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6503 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 3507874994416 in words is "three trillion, five hundred seven billion, eight hundred seventy-four million, nine hundred ninety-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 227 232 377 443 454 464 754 886 908 1508 1772 1816 2951 3016 3544 3632 5759 5783 5902 6032 6583 7088 11518 11566 11804 12847 13166 23036 23132 23608 25694 26332 46072 46264 47216 51388 52664 75179 85579 92144 92528 100561 102776 105328 150358 167011 167707 171158 201122 205552 300716 334022 335414 342316 402244 601432 668044 670828 684632 804488 1202864 1307293 1312741 1336088 1341656 1369264 1608976 2180191 2561869 2614586 2625482 2672176 2683312 2916269 4360382 5123738 5229172 5250964 5832538 8720764 10247476 10458344 10501928 11665076 17065633 17441528 20494952 20916688 21003856 23330152 33304297 34131266 34883056 37911497 38069489 40989904 46660304 66608594 68262532 74294201 75822994 76138978 133217188 136525064 148588402 151645988 152277956 266434376 273050128 297176804 303291976 304555912 494903357 532868752 581544263 594353608 606583952 609111824 965824613 989806714 1163088526 1188707216 1931649226 1979613428 2326177052 3863298452 3959226856 4652354104 7560075419 7726596904 7918453712 9304708208 15120150838 15453193808 16864783627 30240301676 33729567254 60480603352 67459134508 120961206704 134918269016 219242187151 269836538032 438484374302 876968748604 1753937497208 3507874994416