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471396697920 = 26345612811061
BaseRepresentation
bin1101101110000010110…
…11101100011101000000
31200001202110001102020000
412313001123230131000
530210410023313140
61000320123120000
746025435551161
oct6670133543500
91601673042200
10471396697920
11171a11168275
1277439973000
13355b6249465
1418b5c4ab768
15c3de94aa30
hex6dc16ec740

471396697920 has 560 divisors, whose sum is σ = 1712007473616. Its totient is φ = 123088896000.

The previous prime is 471396697909. The next prime is 471396697943. The reversal of 471396697920 is 29796693174.

471396697920 is a `hidden beast` number, since 4 + 71 + 396 + 6 + 97 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19070505216 + 452326192704 = 138096^2 + 672552^2 .

It is a congruent number.

It is an unprimeable number.

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, 444294190 + ... + 444295250.

Almost surely, 2471396697920 is an apocalyptic number.

471396697920 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 471396697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856003736808).

471396697920 is an abundant number, since it is smaller than the sum of its proper divisors (1240610775696).

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

471396697920 is a wasteful number, since it uses less digits than its factorization.

471396697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 471396697920 in words is "four hundred seventy-one billion, three hundred ninety-six million, six hundred ninety-seven thousand, nine hundred twenty".