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11706116480 = 27571733529
BaseRepresentation
bin10101110011011110…
…10010100110000000
31010012211010022221122
422321233102212000
5142433231211410
65213330411412
7563042230322
oct127157224600
933184108848
1011706116480
114a67885633
122328430b68
1311472c8a56
147d099b612
15487a6de55
hex2b9bd2980

11706116480 has 128 divisors (see below), whose sum is σ = 28775995200. Its totient is φ = 4551966720.

The previous prime is 11706116473. The next prime is 11706116483. The reversal of 11706116480 is 8461160711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11706116480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11706116483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315356 + ... + 3318884.

Almost surely, 211706116480 is an apocalyptic number.

11706116480 is a gapful number since it is divisible by the number (10) 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 11706116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14387997600).

11706116480 is an abundant number, since it is smaller than the sum of its proper divisors (17069878720).

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

11706116480 is an equidigital number, since it uses as much as digits as its factorization.

11706116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 11706116480 in words is "eleven billion, seven hundred six million, one hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 73 80 128 142 146 160 284 292 320 355 365 568 584 640 710 730 1136 1168 1420 1460 2272 2336 2840 2920 3529 4544 4672 5183 5680 5840 7058 9088 9344 10366 11360 11680 14116 17645 20732 22720 23360 25915 28232 35290 41464 45440 46720 51830 56464 70580 82928 103660 112928 141160 165856 207320 225856 250559 257617 282320 331712 414640 451712 501118 515234 564640 663424 829280 1002236 1030468 1129280 1252795 1288085 1658560 2004472 2060936 2258560 2505590 2576170 3317120 4008944 4121872 5011180 5152340 8017888 8243744 10022360 10304680 16035776 16487488 18290807 20044720 20609360 32071552 32974976 36581614 40089440 41218720 73163228 80178880 82437440 91454035 146326456 160357760 164874880 182908070 292652912 365816140 585305824 731632280 1170611648 1463264560 2341223296 2926529120 5853058240 11706116480