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115818697728 = 21032103122011
BaseRepresentation
bin110101111011101010…
…1010001010000000000
3102001221121022110002100
41223313111101100000
53344144041311403
6125112324350400
711240044454526
oct1536725212000
9361847273070
10115818697728
11451336a9908
121a543545400
13abc9b57106
145869cba316
15302cd6b2a3
hex1af7551400

115818697728 has 132 divisors (see below), whose sum is σ = 337673578528. Its totient is φ = 38231101440.

The previous prime is 115818697681. The next prime is 115818697747. The reversal of 115818697728 is 827796818511.

It is a super-4 number, since 4×1158186977284 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888243 + ... + 1010253.

Almost surely, 2115818697728 is an apocalyptic number.

115818697728 is a gapful number since it is divisible by the number (18) 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 115818697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168836789264).

115818697728 is an abundant number, since it is smaller than the sum of its proper divisors (221854880800).

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

115818697728 is a wasteful number, since it uses less digits than its factorization.

115818697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122140 (or 122119 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 63.

The spelling of 115818697728 in words is "one hundred fifteen billion, eight hundred eighteen million, six hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 512 576 618 768 824 927 1024 1152 1236 1536 1648 1854 2304 2472 3072 3296 3708 4608 4944 6592 7416 9216 9888 13184 14832 19776 26368 29664 39552 52736 59328 79104 105472 118656 122011 158208 237312 244022 316416 366033 474624 488044 732066 949248 976088 1098099 1464132 1952176 2196198 2928264 3904352 4392396 5856528 7808704 8784792 11713056 12567133 15617408 17569584 23426112 25134266 31234816 35139168 37701399 46852224 50268532 62469632 70278336 75402798 93704448 100537064 113104197 124939264 140556672 150805596 187408896 201074128 226208394 281113344 301611192 374817792 402148256 452416788 562226688 603222384 804296512 904833576 1124453376 1206444768 1608593024 1809667152 2412889536 3217186048 3619334304 4825779072 6434372096 7238668608 9651558144 12868744192 14477337216 19303116288 28954674432 38606232576 57909348864 115818697728