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11969966070 = 2325679112179
BaseRepresentation
bin10110010010111011…
…10010111111110110
31010220012121021112200
423021131302333312
5144003302403240
65255433525330
7602425014156
oct131135627766
933805537480
1011969966070
115092808747
1223a0873846
131189b7a27a
14817a40766
154a0cdb930
hex2c9772ff6

11969966070 has 96 divisors (see below), whose sum is σ = 31635601920. Its totient is φ = 3139456320.

The previous prime is 11969966059. The next prime is 11969966093. The reversal of 11969966070 is 7066996911.

It is a junction number, because it is equal to n+sod(n) for n = 11969965998 and 11969966016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5492241 + ... + 5494419.

It is an arithmetic number, because the mean of its divisors is an integer number (329537520).

Almost surely, 211969966070 is an apocalyptic number.

11969966070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11969966070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15817800960).

11969966070 is an abundant number, since it is smaller than the sum of its proper divisors (19665635850).

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

11969966070 is a wasteful number, since it uses less digits than its factorization.

11969966070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 11969966070 in words is "eleven billion, nine hundred sixty-nine million, nine hundred sixty-six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 911 1005 1206 1822 2010 2179 2733 3015 4358 4555 5466 6030 6537 8199 9110 10895 13074 13665 16398 19611 21790 27330 32685 39222 40995 61037 65370 81990 98055 122074 145993 183111 196110 291986 305185 366222 437979 549333 610370 729965 875958 915555 1098666 1313937 1459930 1831110 1985069 2189895 2627874 2746665 3970138 4379790 5493330 5955207 6569685 9925345 11910414 13139370 17865621 19850690 29776035 35731242 59552070 89328105 132999623 178656210 265999246 398998869 664998115 797997738 1196996607 1329996230 1994994345 2393993214 3989988690 5984983035 11969966070