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11684136016 = 247714393347
BaseRepresentation
bin10101110000110110…
…11100010001010000
31010011021202121102101
422320123130101100
5142412114323031
65211223330144
7562354342330
oct127033342120
933137677371
1011684136016
114a56432363
122320bb0954
1311428a1067
147cbab90c0
15485b7b361
hex2b86dc450

11684136016 has 80 divisors (see below), whose sum is σ = 26304030720. Its totient is φ = 4924241280.

The previous prime is 11684135987. The next prime is 11684136029. The reversal of 11684136016 is 61063148611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3489255 + ... + 3492601.

It is an arithmetic number, because the mean of its divisors is an integer number (328800384).

Almost surely, 211684136016 is an apocalyptic number.

11684136016 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 11684136016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152015360).

11684136016 is an abundant number, since it is smaller than the sum of its proper divisors (14619894704).

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

11684136016 is a wasteful number, since it uses less digits than its factorization.

11684136016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 11684136016 in words is "eleven billion, six hundred eighty-four million, one hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 439 497 568 878 994 1136 1756 1988 3073 3347 3512 3976 6146 6694 7024 7952 12292 13388 23429 24584 26776 31169 46858 49168 53552 62338 93716 124676 187432 218183 237637 249352 374864 436366 475274 498704 872732 950548 1469333 1663459 1745464 1901096 2938666 3326918 3490928 3802192 5877332 6653836 10285331 11754664 13307672 20570662 23509328 26615344 41141324 82282648 104322643 164565296 208645286 417290572 730258501 834581144 1460517002 1669162288 2921034004 5842068008 11684136016