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420412013412 = 223173166478813
BaseRepresentation
bin1100001111000101000…
…00100011101101100100
31111012011020101002101120
412013202200203231210
523342000433412122
6521045024253540
742242126103126
oct6074240435544
91435136332346
10420412013412
11152328692176
126958b1712b0
133084c4a26a1
14164c3099216
15ae088ec75c
hex61e2823b64

420412013412 has 48 divisors (see below), whose sum is σ = 1072170312192. Its totient is φ = 127639319040.

The previous prime is 420412013389. The next prime is 420412013419. The reversal of 420412013412 is 214310214024.

It is a super-2 number, since 2×4204120134122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420412013419) 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 15 ways as a sum of consecutive naturals, for example, 33233083 + ... + 33245730.

It is an arithmetic number, because the mean of its divisors is an integer number (22336881504).

Almost surely, 2420412013412 is an apocalyptic number.

It is an amenable number.

420412013412 is an abundant number, since it is smaller than the sum of its proper divisors (651758298780).

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

420412013412 is a wasteful number, since it uses less digits than its factorization.

420412013412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66478868 (or 66478866 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 420412013412 its reverse (214310214024), we get a palindrome (634722227436).

The spelling of 420412013412 in words is "four hundred twenty billion, four hundred twelve million, thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 66478813 132957626 199436439 265915252 398872878 797745756 1130139821 2060843203 2260279642 3390419463 4121686406 4520559284 6182529609 6780838926 8243372812 12365059218 13561677852 24730118436 35034334451 70068668902 105103003353 140137337804 210206006706 420412013412