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11971841520 = 243558784979
BaseRepresentation
bin10110010011001001…
…11100110111110000
31010220100010120011210
423021210330313300
5144004242412040
65255542040120
7602446655022
oct131144746760
933810116153
1011971841520
115093879801
1223a1419040
13118a385ac2
14817dac012
154a105c480
hex2c993cdf0

11971841520 has 80 divisors (see below), whose sum is σ = 37176370560. Its totient is φ = 3187014912.

The previous prime is 11971841449. The next prime is 11971841533. The reversal of 11971841520 is 2514817911.

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

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, 98391 + ... + 183369.

It is an arithmetic number, because the mean of its divisors is an integer number (464704632).

Almost surely, 211971841520 is an apocalyptic number.

11971841520 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 11971841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18588185280).

11971841520 is an abundant number, since it is smaller than the sum of its proper divisors (25204529040).

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

11971841520 is a wasteful number, since it uses less digits than its factorization.

11971841520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85582 (or 85576 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 11971841520 in words is "eleven billion, nine hundred seventy-one million, eight hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 23480 28176 35220 46960 70440 84979 140880 169958 254937 339916 424895 509874 679832 849790 1019748 1274685 1359664 1699580 2039496 2549370 3399160 4078992 5098740 6798320 10197480 20394960 49882673 99765346 149648019 199530692 249413365 299296038 399061384 498826730 598592076 748240095 798122768 997653460 1197184152 1496480190 1995306920 2394368304 2992960380 3990613840 5985920760 11971841520