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460242162112231 = 17221328334318267
BaseRepresentation
bin110100010100101100111101…
…0100101010101011011100111
32020100120201110121101112111201
41220221121322211111123213
5440311101422000042411
64310504155211543331
7165641253553025062
oct15051317245253347
92210521417345451
10460242162112231
11123713672029954
1243752020a5ab47
13169a685a3c4cc5
148191ba78478d9
153831e4c8733c1
hex1a2967a9556e7

460242162112231 has 16 divisors (see below), whose sum is σ = 487707640696224. Its totient is φ = 432820423010304.

The previous prime is 460242162112199. The next prime is 460242162112277. The reversal of 460242162112231 is 132211261242064.

It is a cyclic number.

It is not a de Polignac number, because 460242162112231 - 25 = 460242162112199 is a prime.

It is a super-2 number, since 2×4602421621122312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460242162112531) 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, 104421160 + ... + 108739426.

It is an arithmetic number, because the mean of its divisors is an integer number (30481727543514).

Almost surely, 2460242162112231 is an apocalyptic number.

460242162112231 is a deficient number, since it is larger than the sum of its proper divisors (27465478583993).

460242162112231 is a wasteful number, since it uses less digits than its factorization.

460242162112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323330.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 460242162112231 in words is "four hundred sixty trillion, two hundred forty-two billion, one hundred sixty-two million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 17 2213 2833 37621 48161 4318267 6269429 73410539 106580293 9556324871 12233650411 162457522807 207972056987 27073068359543 460242162112231