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11969103760 = 2454116721851
BaseRepresentation
bin10110010010110101…
…00000011110010000
31010220010222110200021
423021122200132100
5144003042310020
65255403233224
7602414463145
oct131132403620
933803873607
1011969103760
115092279899
1223a0518814
131189937923
148178983cc
154a0bbb1aa
hex2c96a0790

11969103760 has 80 divisors (see below), whose sum is σ = 28678914432. Its totient is φ = 4642688000.

The previous prime is 11969103749. The next prime is 11969103779. The reversal of 11969103760 is 6730196911.

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

It is a super-2 number, since 2×119691037602 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 536835 + ... + 558685.

Almost surely, 211969103760 is an apocalyptic number.

11969103760 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 11969103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14339457216).

11969103760 is an abundant number, since it is smaller than the sum of its proper divisors (16709810672).

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

11969103760 is a wasteful number, since it uses less digits than its factorization.

11969103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072 (or 22066 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The spelling of 11969103760 in words is "eleven billion, nine hundred sixty-nine million, one hundred three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 167 205 328 334 410 656 668 820 835 1336 1640 1670 2672 3280 3340 6680 6847 13360 13694 21851 27388 34235 43702 54776 68470 87404 109255 109552 136940 174808 218510 273880 349616 437020 547760 874040 895891 1748080 1791782 3583564 3649117 4479455 7167128 7298234 8958910 14334256 14596468 17917820 18245585 29192936 35835640 36491170 58385872 71671280 72982340 145964680 149613797 291929360 299227594 598455188 748068985 1196910376 1496137970 2393820752 2992275940 5984551880 11969103760