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471310396920 = 23325111394491907
BaseRepresentation
bin1101101101111000100…
…10011110110111111000
31200001112102122212111200
412312330102132313320
530210220430200140
61000303401254200
746023340162566
oct6667422366770
91601472585450
10471310396920
11171977483030
1277414a94360
13355a13c108c
1418b50c44a36
15c3d70a0030
hex6dbc49edf8

471310396920 has 384 divisors, whose sum is σ = 1687664160000. Its totient is φ = 113123082240.

The previous prime is 471310396913. The next prime is 471310396933. The reversal of 471310396920 is 29693013174.

471310396920 is a `hidden beast` number, since 47 + 131 + 0 + 396 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247146607 + ... + 247148513.

It is an arithmetic number, because the mean of its divisors is an integer number (4394958750).

Almost surely, 2471310396920 is an apocalyptic number.

471310396920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 686520×686521.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471310396920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843832080000).

471310396920 is an abundant number, since it is smaller than the sum of its proper divisors (1216353763080).

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

471310396920 is a wasteful number, since it uses less digits than its factorization.

471310396920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 471310396920 in words is "four hundred seventy-one billion, three hundred ten million, three hundred ninety-six thousand, nine hundred twenty".