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470981371392 = 293574791129
BaseRepresentation
bin1101101101010001010…
…11010110011000000000
31200000200111112122100000
412312220223112120000
530204032212341032
61000211005200000
746012233413520
oct6665053263000
91600614478300
10470981371392
11171818784304
1277342860000
133554b19ca0c
1418b1d277680
15c3b825ae7c
hex6da8ad6600

470981371392 has 480 divisors, whose sum is σ = 1615796582400. Its totient is φ = 134166233088.

The previous prime is 470981371391. The next prime is 470981371397. The reversal of 470981371392 is 293173189074.

470981371392 is a `hidden beast` number, since 470 + 9 + 8 + 1 + 37 + 139 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470981371391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417166284 + ... + 417167412.

It is an arithmetic number, because the mean of its divisors is an integer number (3366242880).

Almost surely, 2470981371392 is an apocalyptic number.

470981371392 is a gapful number since it is divisible by the number (42) 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 470981371392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807898291200).

470981371392 is an abundant number, since it is smaller than the sum of its proper divisors (1144815211008).

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

470981371392 is an equidigital number, since it uses as much as digits as its factorization.

470981371392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 470981371392 in words is "four hundred seventy billion, nine hundred eighty-one million, three hundred seventy-one thousand, three hundred ninety-two".