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1327680340920 = 233451921567257
BaseRepresentation
bin10011010100011111111…
…010100100001110111000
311200220222022210110120000
4103110133322210032320
5133223042131402140
62453532233233000
7164631104456643
oct23243772441670
94626868713500
101327680340920
1147207aa37aaa
12195391562760
1398279a231ab
144838d8c8a5a
1524809097a30
hex1351fea43b8

1327680340920 has 160 divisors (see below), whose sum is σ = 4697348792400. Its totient is φ = 335413965312.

The previous prime is 1327680340873. The next prime is 1327680340937. The reversal of 1327680340920 is 290430867231.

1327680340920 is a `hidden beast` number, since 13 + 276 + 8 + 0 + 340 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10722069 + ... + 10845188.

Almost surely, 21327680340920 is an apocalyptic number.

1327680340920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327680340920 is an abundant number, since it is smaller than the sum of its proper divisors (3369668451480).

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

1327680340920 is a wasteful number, since it uses less digits than its factorization.

1327680340920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21567299 (or 21567286 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1327680340920 in words is "one trillion, three hundred twenty-seven billion, six hundred eighty million, three hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3420 4104 5130 6156 6840 7695 10260 12312 15390 20520 30780 61560 21567257 43134514 64701771 86269028 107836285 129403542 172538056 194105313 215672570 258807084 323508855 388210626 409777883 431345140 517614168 582315939 647017710 776421252 819555766 862690280 970526565 1164631878 1229333649 1294035420 1552842504 1639111532 1746947817 1941053130 2048889415 2329263756 2458667298 2588070840 2911579695 3278223064 3493895634 3688000947 3882106260 4097778830 4658527512 4917334596 5823159390 6146668245 6987791268 7376001894 7764212520 8195557660 8734739085 9834669192 11064002841 11646318780 12293336490 13975582536 14752003788 16391115320 17469478170 18440004735 22128005682 23292637560 24586672980 29504007576 33192008523 34938956340 36880009470 44256011364 49173345960 55320014205 66384017046 69877912680 73760018940 88512022728 110640028410 132768034092 147520037880 165960042615 221280056820 265536068184 331920085230 442560113640 663840170460 1327680340920