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204969717990 = 232529332323633
BaseRepresentation
bin1011111011100100100…
…1011011000011100110
3201121001200200111221200
42332321021123003212
511324234221433430
6234054540223330
720544224566512
oct2767111330346
9647050614850
10204969717990
1179a22075954
1233883b3ab46
1316436b075cb
149cc613d142
1554e98e8460
hex2fb925b0e6

204969717990 has 96 divisors (see below), whose sum is σ = 551487100320. Its totient is φ = 52755698688.

The previous prime is 204969717943. The next prime is 204969718067. The reversal of 204969717990 is 99717969402.

204969717990 is a `hidden beast` number, since 2 + 0 + 496 + 9 + 71 + 79 + 9 + 0 = 666.

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, 8661214 + ... + 8684846.

It is an arithmetic number, because the mean of its divisors is an integer number (5744657295).

Almost surely, 2204969717990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204969717990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275743550160).

204969717990 is an abundant number, since it is smaller than the sum of its proper divisors (346517382330).

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

204969717990 is a wasteful number, since it uses less digits than its factorization.

204969717990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26998 (or 26995 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 204969717990 in words is "two hundred four billion, nine hundred sixty-nine million, seven hundred seventeen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3323 6646 9969 16615 19938 23633 29907 33230 47266 49845 59814 70899 96367 99690 118165 141798 149535 192734 212697 236330 289101 299070 354495 425394 481835 578202 685357 708990 867303 963670 1063485 1370714 1445505 1734606 2056071 2126970 2891010 3426785 4112142 4336515 6168213 6853570 8673030 10280355 12336426 20560710 30841065 61682130 78532459 157064918 235597377 392662295 471194754 706792131 785324590 1177986885 1413584262 2277441311 2355973770 3533960655 4554882622 6832323933 7067921310 11387206555 13664647866 20496971799 22774413110 34161619665 40993943598 68323239330 102484858995 204969717990