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461021435424126 = 232192946483306657
BaseRepresentation
bin110100011010010111110101…
…0111001000110110101111110
32020110100012220111121102120100
41220310233222321012311332
5440411333344432033001
64312302153523301530
7166051461641626023
oct15064575271066576
92213305814542510
10461021435424126
11123994102547045
1243859061b1a8a6
1316a3219a271c95
1481bb7b11a354a
15384735b204586
hex1a34beae46d7e

461021435424126 has 48 divisors (see below), whose sum is σ = 1087709375797200. Its totient is φ = 140565519327744.

The previous prime is 461021435424119. The next prime is 461021435424133. The reversal of 461021435424126 is 621424534120164.

461021435424126 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 2 + 1 + 43 + 542 + 41 + 26 = 666.

It is an interprime number because it is at equal distance from previous prime (461021435424119) and next prime (461021435424133).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23241643411 + ... + 23241663246.

It is an arithmetic number, because the mean of its divisors is an integer number (22660611995775).

Almost surely, 2461021435424126 is an apocalyptic number.

461021435424126 is an abundant number, since it is smaller than the sum of its proper divisors (626687940373074).

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

461021435424126 is a wasteful number, since it uses less digits than its factorization.

461021435424126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46483306713 (or 46483306710 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 461021435424126 in words is "four hundred sixty-one trillion, twenty-one billion, four hundred thirty-five million, four hundred twenty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 9918 46483306657 92966613314 139449919971 278899839942 418349759913 836699519826 883182826483 1348015893053 1766365652966 2649548479449 2696031786106 4044047679159 5299096958898 7948645438347 8088095358318 12132143037477 15897290876694 24264286074954 25612301968007 51224603936014 76836905904021 153673811808042 230510717712063 461021435424126