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12591423040 = 26579675813
BaseRepresentation
bin10111011101000000…
…11101111001000000
31012111111222120020111
423232200131321000
5201241401014130
65441233521104
7624012221110
oct135640357100
935444876214
1012591423040
115381591549
122534a13194
1312588494a1
148763b1040
154da64702a
hex2ee81de40

12591423040 has 112 divisors (see below), whose sum is σ = 34307995392. Its totient is φ = 4311853056.

The previous prime is 12591423011. The next prime is 12591423049. The reversal of 12591423040 is 4032419521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12591422993 and 12591423011.

It is not an unprimeable number, because it can be changed into a prime (12591423049) 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, 2163174 + ... + 2168986.

Almost surely, 212591423040 is an apocalyptic number.

12591423040 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 12591423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153997696).

12591423040 is an abundant number, since it is smaller than the sum of its proper divisors (21716572352).

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

12591423040 is an equidigital number, since it uses as much as digits as its factorization.

12591423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 12591423040 in words is "twelve billion, five hundred ninety-one million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 967 1120 1934 2240 3868 4835 5813 6769 7736 9670 11626 13538 15472 19340 23252 27076 29065 30944 33845 38680 40691 46504 54152 58130 61888 67690 77360 81382 93008 108304 116260 135380 154720 162764 186016 203455 216608 232520 270760 309440 325528 372032 406910 433216 465040 541520 651056 813820 930080 1083040 1302112 1627640 1860160 2166080 2604224 3255280 5621171 6510560 11242342 13021120 22484684 28105855 39348197 44969368 56211710 78696394 89938736 112423420 157392788 179877472 196740985 224846840 314785576 359754944 393481970 449693680 629571152 786963940 899387360 1259142304 1573927880 1798774720 2518284608 3147855760 6295711520 12591423040