Search a number
-
+
211445516516520 = 2335111312321999797
BaseRepresentation
bin110000000100111011111110…
…111001101011110010101000
31000201122222211121012201101210
4300010323332321223302220
5210203310404212012040
62025412421310113120
762352302004434406
oct6004737671536250
91021588747181353
10211445516516520
11614115a3778160
121b86b6837ab7a0
1390ca2c3c4b180
143a30036442476
15196a2b30ac480
hexc04efee6bca8

211445516516520 has 128 divisors (see below), whose sum is σ = 745234547783040. Its totient is φ = 47316479216640.

The previous prime is 211445516516503. The next prime is 211445516516581. The reversal of 211445516516520 is 25615615544112.

It is a self number, because there is not a number n which added to its sum of digits gives 211445516516520.

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, 6160982739 + ... + 6161017058.

It is an arithmetic number, because the mean of its divisors is an integer number (5822144904555).

Almost surely, 2211445516516520 is an apocalyptic number.

211445516516520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211445516516520 is an abundant number, since it is smaller than the sum of its proper divisors (533789031266520).

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

211445516516520 is a wasteful number, since it uses less digits than its factorization.

211445516516520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321999835 (or 12321999831 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The spelling of 211445516516520 in words is "two hundred eleven trillion, four hundred forty-five billion, five hundred sixteen million, five hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 12321999797 24643999594 36965999391 49287999188 61609998985 73931998782 98575998376 123219997970 135541997767 147863997564 160185997361 184829996955 246439995940 271083995534 295727995128 320371994722 369659993910 406625993301 480557992083 492879991880 542167991068 640743989444 677709988835 739319987820 800929986805 813251986602 961115984166 1084335982136 1281487978888 1355419977670 1478639975640 1601859973610 1626503973204 1762045970971 1922231968332 2033129966505 2402789960415 2710839955340 3203719947220 3253007946408 3524091941942 3844463936664 4066259933010 4805579920830 5286137912913 5421679910680 6407439894440 7048183883884 8132519866020 8810229854855 9611159841660 10572275825826 14096367767768 16265039732040 17620459709710 19222319683320 21144551651652 26430689564565 35240919419420 42289103303304 52861379129130 70481838838840 105722758258260 211445516516520