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12961425888 = 2532231956737
BaseRepresentation
bin11000001001000111…
…11010100111100000
31020110022012122201200
430010203322213200
5203021111112023
65542052201200
7636124205445
oct140443724740
936408178650
1012961425888
115551429124
122618909200
1312b73b7198
148ad5a79cc
1550cd82743
hex3048fa9e0

12961425888 has 72 divisors (see below), whose sum is σ = 38461642128. Its totient is φ = 4132626432.

The previous prime is 12961425881. The next prime is 12961425907. The reversal of 12961425888 is 88852416921.

12961425888 is a `hidden beast` number, since 12 + 9 + 6 + 1 + 42 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×129614258882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961425881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971745 + ... + 984992.

It is an arithmetic number, because the mean of its divisors is an integer number (534189474).

Almost surely, 212961425888 is an apocalyptic number.

12961425888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12961425888 is an abundant number, since it is smaller than the sum of its proper divisors (25500216240).

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

12961425888 is a wasteful number, since it uses less digits than its factorization.

12961425888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956776 (or 1956765 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 12961425888 in words is "twelve billion, nine hundred sixty-one million, four hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 1956737 3913474 5870211 7826948 11740422 15653896 17610633 23480844 31307792 35221266 45004951 46961688 62615584 70442532 90009902 93923376 135014853 140885064 180019804 187846752 270029706 281770128 360039608 405044559 540059412 563540256 720079216 810089118 1080118824 1440158432 1620178236 2160237648 3240356472 4320475296 6480712944 12961425888