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11676680080 = 2451316767231
BaseRepresentation
bin10101101111111101…
…11111111110010000
31010010202201210210121
422313332333332100
5142403212230310
65210355440024
7562234100032
oct126776777620
933122653717
1011676680080
114a521aa62a
12231a5b6014
131141190470
147caad7c52
154851a70da
hex2b7fbff90

11676680080 has 80 divisors (see below), whose sum is σ = 29412117504. Its totient is φ = 4285509120.

The previous prime is 11676680077. The next prime is 11676680087. The reversal of 11676680080 is 8008667611.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11676680087) 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, 140065 + ... + 207295.

Almost surely, 211676680080 is an apocalyptic number.

11676680080 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 11676680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706058752).

11676680080 is an abundant number, since it is smaller than the sum of its proper divisors (17735437424).

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

11676680080 is a wasteful number, since it uses less digits than its factorization.

11676680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67424 (or 67418 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 11676680080 in words is "eleven billion, six hundred seventy-six million, six hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 167 208 260 334 520 668 835 1040 1336 1670 2171 2672 3340 4342 6680 8684 10855 13360 17368 21710 34736 43420 67231 86840 134462 173680 268924 336155 537848 672310 874003 1075696 1344620 1748006 2689240 3496012 4370015 5378480 6992024 8740030 11227577 13984048 17480060 22455154 34960120 44910308 56137885 69920240 89820616 112275770 145958501 179641232 224551540 291917002 449103080 583834004 729792505 898206160 1167668008 1459585010 2335336016 2919170020 5838340040 11676680080