Search a number
-
+
86459788195440 = 24351141798778531
BaseRepresentation
bin10011101010001001111100…
…111101100111011001110000
3102100010110211021222222000220
4103222021330331213121300
542313024121234223230
6503515024532213040
724132341102606322
oct2352117475473160
9370113737888026
1086459788195440
1125604432486060
1298445a016a180
13393217a42c18a
14174c967223612
159ee03e130d10
hex4ea27cf67670

86459788195440 has 160 divisors (see below), whose sum is σ = 299522778815232. Its totient is φ = 20448730368000.

The previous prime is 86459788195421. The next prime is 86459788195471. The reversal of 86459788195440 is 4459188795468.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

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, 399281026 + ... + 399497505.

Almost surely, 286459788195440 is an apocalyptic number.

86459788195440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86459788195440 is an abundant number, since it is smaller than the sum of its proper divisors (213062990619792).

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

86459788195440 is a wasteful number, since it uses less digits than its factorization.

86459788195440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798778599 (or 798778593 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 78.

The spelling of 86459788195440 in words is "eighty-six trillion, four hundred fifty-nine billion, seven hundred eighty-eight million, one hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240 798778531 1597557062 2396335593 3195114124 3993892655 4792671186 6390228248 7987785310 8786563841 9585342372 11981677965 12780456496 15975570620 17573127682 19170684744 23963355930 26359691523 31951141240 32749919771 35146255364 38341369488 43932819205 47926711860 52719383046 63902282480 65499839542 70292510728 87865638410 95853423720 98249759313 105438766092 130999679084 131798457615 140585021456 163749598855 175731276820 191706847440 196499518626 210877532184 261999358168 263596915230 327499197710 351462553640 360249117481 392999037252 421755064368 491248796565 523998716336 527193830460 654998395420 702925107280 720498234962 785998074504 982497593130 1054387660920 1080747352443 1309996790840 1440996469924 1571996149008 1801245587405 1964995186260 2108775321840 2161494704886 2619993581680 2881992939848 3602491174810 3929990372520 4322989409772 5403736762215 5763985879696 7204982349620 7859980745040 8645978819544 10807473524430 14409964699240 17291957639088 21614947048860 28819929398480 43229894097720 86459788195440