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164203544340 = 2232511174878299
BaseRepresentation
bin1001100011101101001…
…0110011111100010100
3120200211121221022210100
42120323102303330110
510142242101404330
6203233431454100
714602055045343
oct2307322637424
9520747838710
10164203544340
1163702690250
12279a7527330
131263b0b6974
147d39ccdb5a
154410a1c060
hex263b4b3f14

164203544340 has 144 divisors (see below), whose sum is σ = 575327188800. Its totient is φ = 37465328640.

The previous prime is 164203544321. The next prime is 164203544359. The reversal of 164203544340 is 43445302461.

164203544340 is a `hidden beast` number, since 1 + 6 + 4 + 203 + 5 + 443 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164203544321) and next prime (164203544359).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 164203544295 and 164203544304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2405490 + ... + 2472809.

It is an arithmetic number, because the mean of its divisors is an integer number (3995327700).

Almost surely, 2164203544340 is an apocalyptic number.

164203544340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164203544340 is an abundant number, since it is smaller than the sum of its proper divisors (411123644460).

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

164203544340 is a wasteful number, since it uses less digits than its factorization.

164203544340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878342 (or 4878337 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 164203544340 in words is "one hundred sixty-four billion, two hundred three million, five hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 4878299 9756598 14634897 19513196 24391495 29269794 43904691 48782990 53661289 58539588 73174485 82931083 87809382 97565980 107322578 146348970 160983867 165862166 175618764 214645156 219523455 248793249 268306445 292697940 321967734 331724332 414655415 439046910 482951601 497586498 536612890 643935468 746379747 804919335 829310830 878093820 912241913 965903202 995172996 1073225780 1243966245 1492759494 1609838670 1658621660 1824483826 1931806404 2414758005 2487932490 2736725739 2985518988 3219677340 3648967652 3731898735 4561209565 4829516010 4975864980 5473451478 7463797470 8210177217 9122419130 9659032020 10946902956 13683628695 14927594940 16420354434 18244838260 27367257390 32840708868 41050886085 54734514780 82101772170 164203544340