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469419245568 = 21434713323
BaseRepresentation
bin1101101010010111001…
…00010100000000000000
31122212122122010102120000
412311023210110000000
530142332311324233
6555352003320000
745625434516030
oct6651344240000
91585578112500
10469419245568
11171096a21029
1276b87680000
133535c668000
1418a11a018c0
15c32603dd13
hex6d4b914000

469419245568 has 1200 divisors, whose sum is σ = 1811758206720. Its totient is φ = 118420144128.

The previous prime is 469419245557. The next prime is 469419245597. The reversal of 469419245568 is 865542914964.

469419245568 is a `hidden beast` number, since 4 + 6 + 9 + 41 + 9 + 24 + 5 + 568 = 666.

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

Its product of digits (74649600) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20409532405 + ... + 20409532427.

Almost surely, 2469419245568 is an apocalyptic number.

469419245568 is a gapful number since it is divisible by the number (48) 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 469419245568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905879103360).

469419245568 is an abundant number, since it is smaller than the sum of its proper divisors (1342338961152).

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

469419245568 is an frugal number, since it uses more digits than its factorization.

469419245568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 469419245568 in words is "four hundred sixty-nine billion, four hundred nineteen million, two hundred forty-five thousand, five hundred sixty-eight".