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442466634501 = 32271318121253
BaseRepresentation
bin1100111000001010001…
…00010000101100000101
31120022002021000220220200
412130011010100230011
524222132424301001
6535133311321113
743652510224023
oct6340504205405
91508067026820
10442466634501
11160715975451
1271905220199
133295573a238
14175b61b7713
15b799c1a086
hex6705110b05

442466634501 has 12 divisors (see below), whose sum is σ = 639354083628. Its totient is φ = 294869012544.

The previous prime is 442466634469. The next prime is 442466634521. The reversal of 442466634501 is 105436664244.

It can be written as a sum of positive squares in 2 ways, for example, as 364025189025 + 78441445476 = 603345^2 + 280074^2 .

It is not a de Polignac number, because 442466634501 - 25 = 442466634469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442466634521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9036210 + ... + 9085043.

It is an arithmetic number, because the mean of its divisors is an integer number (53279506969).

Almost surely, 2442466634501 is an apocalyptic number.

It is an amenable number.

442466634501 is a deficient number, since it is larger than the sum of its proper divisors (196887449127).

442466634501 is a wasteful number, since it uses less digits than its factorization.

442466634501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18123972 (or 18123969 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 442466634501 in words is "four hundred forty-two billion, four hundred sixty-six million, six hundred thirty-four thousand, five hundred one".

Divisors: 1 3 9 2713 8139 24417 18121253 54363759 163091277 49162959389 147488878167 442466634501