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460431263411401 = 53269252112810433
BaseRepresentation
bin110100010110000101000000…
…1111001100010110011001001
32020101020210120101211212002211
41220230022001321202303021
5440322201211413131101
64311131111413025121
7165661026634402102
oct15054120171426311
92211223511755084
10460431263411401
11123786890860887
12437827b66251a1
13169bb635796779
14819adc62a73a9
153836d190b7c51
hex1a2c281e62cc9

460431263411401 has 16 divisors (see below), whose sum is σ = 471049394109840. Its totient is φ = 449885974487040.

The previous prime is 460431263411389. The next prime is 460431263411423. The reversal of 460431263411401 is 104114362134064.

It can be written as a sum of positive squares in 8 ways, for example, as 29410273919376 + 431020989492025 = 5423124^2 + 20761045^2 .

It is a cyclic number.

It is not a de Polignac number, because 460431263411401 - 29 = 460431263410889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460431263415401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29536681 + ... + 42347113.

It is an arithmetic number, because the mean of its divisors is an integer number (29440587131865).

Almost surely, 2460431263411401 is an apocalyptic number.

It is an amenable number.

460431263411401 is a deficient number, since it is larger than the sum of its proper divisors (10618130698439).

460431263411401 is a wasteful number, since it uses less digits than its factorization.

460431263411401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813276.

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 460431263411401 in words is "four hundred sixty trillion, four hundred thirty-one billion, two hundred sixty-three million, four hundred eleven thousand, four hundred one".

Divisors: 1 53 269 2521 14257 133613 678149 12810433 35941897 678952949 3446006477 32295101593 182638343281 1711640384429 8687382328517 460431263411401