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415216526420 = 225121621170701
BaseRepresentation
bin1100000101011001101…
…01010110010001010100
31110200202011011000002102
412002230311112101110
523300330412321140
6514425311101232
741666311145543
oct6025465262124
91420664130072
10415216526420
111501019a4973
126857b211818
1330201ca9a27
141614d06c15a
15ac0272de15
hex60acd56454

415216526420 has 24 divisors (see below), whose sum is σ = 871966983048. Its totient is φ = 166084272000.

The previous prime is 415216526411. The next prime is 415216526423. The reversal of 415216526420 is 24625612514.

It can be written as a sum of positive squares in 4 ways, for example, as 69298456516 + 345918069904 = 263246^2 + 588148^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415216526423) 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 7 ways as a sum of consecutive naturals, for example, 2347070 + ... + 2517770.

It is an arithmetic number, because the mean of its divisors is an integer number (36331957627).

Almost surely, 2415216526420 is an apocalyptic number.

It is an amenable number.

415216526420 is an abundant number, since it is smaller than the sum of its proper divisors (456750456628).

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

415216526420 is a wasteful number, since it uses less digits than its factorization.

415216526420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292331 (or 292329 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 415216526420 in words is "four hundred fifteen billion, two hundred sixteen million, five hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 121621 170701 243242 341402 486484 608105 682804 853505 1216210 1707010 2432420 3414020 20760826321 41521652642 83043305284 103804131605 207608263210 415216526420