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78034986240 = 283537095479
BaseRepresentation
bin100100010101100111…
…1110110010100000000
321110102101121000212120
41020223033312110000
52234303424024430
655503200324240
75431531303341
oct1105317662400
9243371530776
1078034986240
1130104796172
1213159913680
137487cba193
143ac3bca0c8
15206ac1c610
hex122b3f6500

78034986240 has 144 divisors (see below), whose sum is σ = 249336931200. Its totient is φ = 20799922176.

The previous prime is 78034986217. The next prime is 78034986257. The reversal of 78034986240 is 4268943087.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14239821 + ... + 14245299.

Almost surely, 278034986240 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 78034986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124668465600).

78034986240 is an abundant number, since it is smaller than the sum of its proper divisors (171301944960).

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

78034986240 is a wasteful number, since it uses less digits than its factorization.

78034986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 78034986240 in words is "seventy-eight billion, thirty-four million, nine hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3709 3840 5479 7418 10958 11127 14836 16437 18545 21916 22254 27395 29672 32874 37090 43832 44508 54790 55635 59344 65748 74180 82185 87664 89016 109580 111270 118688 131496 148360 164370 175328 178032 219160 222540 237376 262992 296720 328740 350656 356064 438320 445080 474752 525984 593440 657480 701312 712128 876640 890160 949504 1051968 1186880 1314960 1402624 1424256 1753280 1780320 2103936 2373760 2629920 2848512 3506560 3560640 4207872 4747520 5259840 7013120 7121280 10519680 14242560 20321611 21039360 40643222 60964833 81286444 101608055 121929666 162572888 203216110 243859332 304824165 325145776 406432220 487718664 609648330 650291552 812864440 975437328 1219296660 1300583104 1625728880 1950874656 2438593320 2601166208 3251457760 3901749312 4877186640 5202332416 6502915520 7803498624 9754373280 13005831040 15606997248 19508746560 26011662080 39017493120 78034986240