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3380517859720 = 235378327979839
BaseRepresentation
bin110001001100010110100…
…100001111000110001000
3102222011201002202101011211
4301030112210033012020
5420341300033002340
611104553301502504
7466143245461231
oct61142644170610
912864632671154
103380517859720
1110937402247a1
12467200711a34
131b6a20b5c891
14b9891898088
155ce05ab65ea
hex3131690f188

3380517859720 has 128 divisors (see below), whose sum is σ = 7909484889600. Its totient is φ = 1299212891136.

The previous prime is 3380517859711. The next prime is 3380517859721. The reversal of 3380517859720 is 279587150833.

It is a super-2 number, since 2×33805178597202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380517859721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 343578561 + ... + 343588399.

It is an arithmetic number, because the mean of its divisors is an integer number (61792850700).

Almost surely, 23380517859720 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 3380517859720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954742444800).

3380517859720 is an abundant number, since it is smaller than the sum of its proper divisors (4528967029880).

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

3380517859720 is a wasteful number, since it uses less digits than its factorization.

3380517859720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12767 (or 12763 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 3380517859720 in words is "three trillion, three hundred eighty billion, five hundred seventeen million, eight hundred fifty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 83 148 166 185 296 332 370 415 664 740 830 1480 1660 2797 3071 3320 5594 6142 9839 11188 12284 13985 15355 19678 22376 24568 27970 30710 39356 49195 55940 61420 78712 98390 103489 111880 122840 196780 206978 232151 364043 393560 413956 464302 517445 728086 816637 827912 928604 1034890 1160755 1456172 1633274 1820215 1857208 2069780 2321510 2912344 3266548 3640430 4083185 4139560 4643020 6533096 7280860 8166370 8589587 9286040 14561720 16332740 17179174 27519683 30215569 32665480 34358348 42947935 55039366 60431138 68716696 85895870 110078732 120862276 137598415 151077845 171791740 220157464 241724552 275196830 302155690 343583480 550393660 604311380 1018228271 1100787320 1208622760 2036456542 2284133689 4072913084 4568267378 5091141355 8145826168 9136534756 10182282710 11420668445 18273069512 20364565420 22841336890 40729130840 45682673780 84512946493 91365347560 169025892986 338051785972 422564732465 676103571944 845129464930 1690258929860 3380517859720