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461484347040 = 25325312379013
BaseRepresentation
bin1101011011100101001…
…11000100111010100000
31122010011122012211002100
412231302213010322200
530030104443101130
6552000351050400
745225004141053
oct6556247047240
91563148184070
10461484347040
11168794979352
1275532210a00
1334696769b92
141849bc42a9a
15c00e602c60
hex6b729c4ea0

461484347040 has 432 divisors, whose sum is σ = 1671419832264. Its totient is φ = 115861155840.

The previous prime is 461484347033. The next prime is 461484347047. The reversal of 461484347040 is 40743484164.

It is a happy number.

461484347040 is a `hidden beast` number, since 4 + 6 + 148 + 434 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461484347033) and next prime (461484347047).

It can be written as a sum of positive squares in 4 ways, for example, as 432074840976 + 29409506064 = 657324^2 + 171492^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (461484347047) 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 71 ways as a sum of consecutive naturals, for example, 51197574 + ... + 51206586.

Almost surely, 2461484347040 is an apocalyptic number.

461484347040 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 461484347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835709916132).

461484347040 is an abundant number, since it is smaller than the sum of its proper divisors (1209935485224).

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

461484347040 is a wasteful number, since it uses less digits than its factorization.

461484347040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 461484347040 in words is "four hundred sixty-one billion, four hundred eighty-four million, three hundred forty-seven thousand, forty".