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11704639536 = 2433175692801
BaseRepresentation
bin10101110011010011…
…01010000000110000
31010012201100021222000
422321221222000300
5142432341431121
65213235014000
7563023536342
oct127151520060
933181307860
1011704639536
114a66a66a17
122327a3a300
131146bcc715
147d06d5292
1548787b526
hex2b9a6a030

11704639536 has 160 divisors (see below), whose sum is σ = 35648164800. Its totient is φ = 3664281600.

The previous prime is 11704639489. The next prime is 11704639549. The reversal of 11704639536 is 63593640711.

It is a happy number.

11704639536 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 4 + 639 + 5 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11704639491 and 11704639500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177336 + ... + 4180136.

It is an arithmetic number, because the mean of its divisors is an integer number (222801030).

Almost surely, 211704639536 is an apocalyptic number.

11704639536 is a gapful number since it is divisible by the number (16) 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 11704639536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17824082400).

11704639536 is an abundant number, since it is smaller than the sum of its proper divisors (23943525264).

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

11704639536 is a wasteful number, since it uses less digits than its factorization.

11704639536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 11704639536 in words is "eleven billion, seven hundred four million, six hundred thirty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 569 612 816 918 1138 1224 1707 1836 2276 2448 2801 3414 3672 4552 5121 5602 6828 7344 8403 9104 9673 10242 11204 13656 15363 16806 19346 20484 22408 25209 27312 29019 30726 33612 38692 40968 44816 47617 50418 58038 61452 67224 75627 77384 81936 87057 95234 100836 116076 122904 134448 142851 151254 154768 174114 190468 201672 232152 245808 261171 285702 302508 348228 380936 403344 428553 464304 522342 571404 605016 696456 761872 857106 1044684 1142808 1210032 1285659 1392912 1593769 1714212 2089368 2285616 2571318 3187538 3428424 4178736 4781307 5142636 6375076 6856848 9562614 10285272 12750152 14343921 19125228 20570544 25500304 27094073 28687842 38250456 43031763 54188146 57375684 76500912 81282219 86063526 108376292 114751368 162564438 172127052 216752584 229502736 243846657 325128876 344254104 433505168 487693314 650257752 688508208 731539971 975386628 1300515504 1463079942 1950773256 2926159884 3901546512 5852319768 11704639536