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204112515516 = 223713229495799
BaseRepresentation
bin1011111000011000001…
…1011101000110111100
3201111211221201010012220
42332012003131012330
511321010300444031
6233433515325340
720514045520110
oct2760603350674
9644757633186
10204112515516
1179622214a58
1233684a50850
131632b346c00
149c44363740
155499522596
hex2f860dd1bc

204112515516 has 144 divisors (see below), whose sum is σ = 609715008000. Its totient is φ = 51975495936.

The previous prime is 204112515493. The next prime is 204112515533. The reversal of 204112515516 is 615515211402.

It is a happy number.

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, 163785 + ... + 659583.

It is an arithmetic number, because the mean of its divisors is an integer number (4234132000).

Almost surely, 2204112515516 is an apocalyptic number.

204112515516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204112515516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304857504000).

204112515516 is an abundant number, since it is smaller than the sum of its proper divisors (405602492484).

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

204112515516 is a wasteful number, since it uses less digits than its factorization.

204112515516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495868 (or 495853 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 204112515516 its reverse (615515211402), we get a palindrome (819627726918).

The spelling of 204112515516 in words is "two hundred four billion, one hundred twelve million, five hundred fifteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 169 174 182 203 273 338 348 364 377 406 507 546 609 676 754 812 1014 1092 1131 1183 1218 1508 2028 2262 2366 2436 2639 3549 4524 4732 4901 5278 7098 7917 9802 10556 14196 14703 15834 19604 29406 31668 34307 58812 68614 102921 137228 205842 411684 495799 991598 1487397 1983196 2974794 3470593 5949588 6445387 6941186 10411779 12890774 13882372 14378171 19336161 20823558 25781548 28756342 38672322 41647116 43134513 45117709 57512684 77344644 83790031 86269026 90235418 100647197 135353127 167580062 172538052 180470836 186916223 201294394 251370093 270706254 301941591 335160124 373832446 402588788 502740186 541412508 560748669 586530217 603883182 747664892 1005480372 1121497338 1173060434 1207766364 1308413561 1759590651 2242994676 2346120868 2429910899 2616827122 3519181302 3925240683 4859821798 5233654244 7038362604 7289732697 7850481366 9719643596 14579465394 15700962732 17009376293 29158930788 34018752586 51028128879 68037505172 102056257758 204112515516