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412543013020 = 225172358619001
BaseRepresentation
bin1100000000011010111…
…10101101000010011100
31110102211211110110011121
412000031132231002130
523224342002404040
6513304124300324
741543125516045
oct6001536550234
91412754413147
10412543013020
11149a5a859766
1267b539a16a4
132cb97138038
1415d77d718cc
15aae7b7bc4a
hex600d7ad09c

412543013020 has 96 divisors (see below), whose sum is σ = 957453872256. Its totient is φ = 148515840000.

The previous prime is 412543013009. The next prime is 412543013027. The reversal of 412543013020 is 20310345214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412543013027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45828520 + ... + 45837520.

It is an arithmetic number, because the mean of its divisors is an integer number (9973477836).

Almost surely, 2412543013020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412543013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478726936128).

412543013020 is an abundant number, since it is smaller than the sum of its proper divisors (544910859236).

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

412543013020 is a wasteful number, since it uses less digits than its factorization.

412543013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14909 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 412543013020 its reverse (20310345214), we get a palindrome (432853358234).

The spelling of 412543013020 in words is "four hundred twelve billion, five hundred forty-three million, thirteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 5861 7820 9001 11722 18002 23444 29305 36004 45005 58610 90010 99637 117220 134803 153017 180020 199274 207023 269606 306034 398548 414046 498185 539212 612068 674015 765085 828092 996370 1035115 1348030 1530170 1992740 2070230 2291651 2696060 3060340 3519391 4140460 4583302 7038782 9166604 11458255 14077564 17596955 22916510 35193910 45833020 52754861 70387820 105509722 211019444 263774305 527548610 896832637 1055097220 1213361803 1793665274 2426723606 3587330548 4484163185 4853447212 6066809015 8968326370 12133618030 17936652740 20627150651 24267236060 41254301302 82508602604 103135753255 206271506510 412543013020