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61324202640 = 24352336730271
BaseRepresentation
bin111001000111001101…
…010001001010010000
312212021210022021021110
4321013031101022100
52001042443441030
644101050253320
74300446056541
oct710715211220
9185253267243
1061324202640
1124009a06108
12ba75427240
135a23bba44c
142d7a6b44c8
1518ddb241b0
hexe47351290

61324202640 has 160 divisors (see below), whose sum is σ = 198917554176. Its totient is φ = 15598978560.

The previous prime is 61324202627. The next prime is 61324202651. The reversal of 61324202640 is 4620242316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61324202598 and 61324202607.

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, 2010705 + ... + 2040975.

Almost surely, 261324202640 is an apocalyptic number.

61324202640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61324202640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99458777088).

61324202640 is an abundant number, since it is smaller than the sum of its proper divisors (137593351536).

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

61324202640 is a wasteful number, since it uses less digits than its factorization.

61324202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30677 (or 30671 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 61324202640 its reverse (4620242316), we get a palindrome (65944444956).

The spelling of 61324202640 in words is "sixty-one billion, three hundred twenty-four million, two hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 367 368 460 552 690 734 920 1101 1104 1380 1468 1835 1840 2202 2760 2936 3670 4404 5505 5520 5872 7340 8441 8808 11010 14680 16882 17616 22020 25323 29360 30271 33764 42205 44040 50646 60542 67528 84410 88080 90813 101292 121084 126615 135056 151355 168820 181626 202584 242168 253230 302710 337640 363252 405168 454065 484336 506460 605420 675280 696233 726504 908130 1012920 1210840 1392466 1453008 1816260 2025840 2088699 2421680 2784932 3481165 3632520 4177398 5569864 6962330 7265040 8354796 10443495 11109457 11139728 13924660 16709592 20886990 22218914 27849320 33328371 33419184 41773980 44437828 55547285 55698640 66656742 83547960 88875656 111094570 133313484 166641855 167095920 177751312 222189140 255517511 266626968 333283710 444378280 511035022 533253936 666567420 766552533 888756560 1022070044 1277587555 1333134840 1533105066 2044140088 2555175110 2666269680 3066210132 3832762665 4088280176 5110350220 6132420264 7665525330 10220700440 12264840528 15331050660 20441400880 30662101320 61324202640