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469432746541080 = 23345756513662731
BaseRepresentation
bin110101010111100100101010…
…0000110101000000000011000
32021120010022222020102110220000
41222233021110012220000120
5443012141231103303310
64342222232052133000
7200610253034512530
oct15257112406500030
92246108866373800
10469432746541080
11126637345377213
1244797265007160
13171c24199bc98a
1483cc947d404c0
153941052aaa4c0
hex1aaf2541a8018

469432746541080 has 320 divisors, whose sum is σ = 1803537441319680. Its totient is φ = 107279896608000.

The previous prime is 469432746541063. The next prime is 469432746541081. The reversal of 469432746541080 is 80145647234964.

469432746541080 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 3 + 2 + 7 + 4 + 6 + 541 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 469432746540999 and 469432746541017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469432746541081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126333315 + ... + 129996045.

It is an arithmetic number, because the mean of its divisors is an integer number (5636054504124).

It is a 1-persistent number, because it is pandigital, but 2⋅469432746541080 = 938865493082160 is not.

Almost surely, 2469432746541080 is an apocalyptic number.

469432746541080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469432746541080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901768720659840).

469432746541080 is an abundant number, since it is smaller than the sum of its proper divisors (1334104694778600).

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

469432746541080 is a wasteful number, since it uses less digits than its factorization.

469432746541080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668412 (or 3668399 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 469432746541080 in words is "four hundred sixty-nine trillion, four hundred thirty-two billion, seven hundred forty-six million, five hundred forty-one thousand, eighty".