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461233503316344 = 233116311276833561
BaseRepresentation
bin110100011011111010100101…
…1000111111010100101111000
32020111002111021212202120000210
41220313311023013322211320
5440423322203322110334
64312543425110231120
7166103010120154203
oct15067651307724570
92214074255676023
10461233503316344
11123a66037320290
12438921870554a0
1316a49195806c85
1481c7b6bcd693a
15384cb1dd5a5e9
hex1a37d4b1fa978

461233503316344 has 64 divisors (see below), whose sum is σ = 1258108879207680. Its totient is φ = 139745581088000.

The previous prime is 461233503316307. The next prime is 461233503316361. The reversal of 461233503316344 is 443613305332164.

It is a super-2 number, since 2×4612335033163442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461233503316293 and 461233503316302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136750677 + ... + 140082884.

It is an arithmetic number, because the mean of its divisors is an integer number (19657951237620).

Almost surely, 2461233503316344 is an apocalyptic number.

461233503316344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461233503316344 is an abundant number, since it is smaller than the sum of its proper divisors (796875375891336).

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

461233503316344 is a wasteful number, since it uses less digits than its factorization.

461233503316344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276839892 (or 276839888 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 461233503316344 in words is "four hundred sixty-one trillion, two hundred thirty-three billion, five hundred three million, three hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 6311 12622 18933 25244 37866 50488 69421 75732 138842 151464 208263 277684 416526 555368 833052 1666104 276833561 553667122 830500683 1107334244 1661001366 2214668488 3045169171 3322002732 6090338342 6644005464 9135507513 12180676684 18271015026 24361353368 36542030052 73084060104 1747096603471 3494193206942 5241289810413 6988386413884 10482579620826 13976772827768 19218062638181 20965159241652 38436125276362 41930318483304 57654187914543 76872250552724 115308375829086 153744501105448 230616751658172 461233503316344