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432464364200641 = 3121166115940101
BaseRepresentation
bin110001001010100101111010…
…0110011100110001011000001
32002201020012010002222021010211
41202111023310303212023001
5423140444004213410031
64131435215231354121
7160043343045402433
oct14225136463461301
92081205102867124
10432464364200641
1111588411a2a5483
12406065a8682941
13157402a34c7006
1478b155b976653
1534ee5cd247bb1
hex18952f4ce62c1

432464364200641 has 8 divisors (see below), whose sum is σ = 448530537651968. Its totient is φ = 416530422630000.

The previous prime is 432464364200639. The next prime is 432464364200653. The reversal of 432464364200641 is 146002463464234.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 432464364200641 - 21 = 432464364200639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432464364200681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33057963510 + ... + 33057976591.

It is an arithmetic number, because the mean of its divisors is an integer number (56066317206496).

Almost surely, 2432464364200641 is an apocalyptic number.

It is an amenable number.

432464364200641 is a deficient number, since it is larger than the sum of its proper divisors (16066173451327).

432464364200641 is a wasteful number, since it uses less digits than its factorization.

432464364200641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66115940343.

The product of its (nonzero) digits is 7962624, while the sum is 49.

It can be divided in two parts, 4324643 and 64200641, that added together give a square (68525284 = 82782).

The spelling of 432464364200641 in words is "four hundred thirty-two trillion, four hundred sixty-four billion, three hundred sixty-four million, two hundred thousand, six hundred forty-one".

Divisors: 1 31 211 6541 66115940101 2049594143131 13950463361311 432464364200641