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412688105580 = 223561112756313
BaseRepresentation
bin1100000000101100010…
…00001100000001101100
31110110012221110220202010
412000112020030001230
523230141123334310
6513330350201220
741546540006322
oct6002610140154
91413187426663
10412688105580
1114a024749973
1267b944b3210
132cbbb20931a
1415d8d33dd12
15ab0578c320
hex601620c06c

412688105580 has 48 divisors (see below), whose sum is σ = 1174469766624. Its totient is φ = 108246059520.

The previous prime is 412688105579. The next prime is 412688105653. The reversal of 412688105580 is 85501886214.

It is a super-3 number, since 3×4126881055803 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 56374497 + ... + 56381816.

It is an arithmetic number, because the mean of its divisors is an integer number (24468120138).

Almost surely, 2412688105580 is an apocalyptic number.

It is an amenable number.

412688105580 is an abundant number, since it is smaller than the sum of its proper divisors (761781661044).

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

412688105580 is a wasteful number, since it uses less digits than its factorization.

412688105580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112756386 (or 112756384 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 412688105580 in words is "four hundred twelve billion, six hundred eighty-eight million, one hundred five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 3660 112756313 225512626 338268939 451025252 563781565 676537878 1127563130 1353075756 1691344695 2255126260 3382689390 6765378780 6878135093 13756270186 20634405279 27512540372 34390675465 41268810558 68781350930 82537621116 103172026395 137562701860 206344052790 412688105580