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12731376640 = 21058329959
BaseRepresentation
bin10111101101101100…
…10110010000000000
31012212021022221111011
423312312112100000
5202033213023030
65503153330304
7630331626103
oct136666262000
935767287434
1012731376640
115443591784
122573866994
13127b83b678
1488ac0273a
154e7a8eb2a
hex2f6d96400

12731376640 has 88 divisors (see below), whose sum is σ = 30909372480. Its totient is φ = 5031026688.

The previous prime is 12731376631. The next prime is 12731376659. The reversal of 12731376640 is 4667313721.

It is a super-2 number, since 2×127313766402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12731376593 and 12731376602.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 409981 + ... + 439939.

Almost surely, 212731376640 is an apocalyptic number.

12731376640 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 12731376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454686240).

12731376640 is an abundant number, since it is smaller than the sum of its proper divisors (18177995840).

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

12731376640 is an equidigital number, since it uses as much as digits as its factorization.

12731376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30067 (or 30049 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 12731376640 in words is "twelve billion, seven hundred thirty-one million, three hundred seventy-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 512 640 664 830 1024 1280 1328 1660 2560 2656 3320 5120 5312 6640 10624 13280 21248 26560 29959 42496 53120 59918 84992 106240 119836 149795 212480 239672 299590 424960 479344 599180 958688 1198360 1917376 2396720 2486597 3834752 4793440 4973194 7669504 9586880 9946388 12432985 15339008 19173760 19892776 24865970 30678016 38347520 39785552 49731940 76695040 79571104 99463880 153390080 159142208 198927760 318284416 397855520 636568832 795711040 1273137664 1591422080 2546275328 3182844160 6365688320 12731376640