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471069889920 = 27335721118457
BaseRepresentation
bin1101101101011011111…
…01000001010110000000
31200000220200002211221000
412312231331001112000
530204222342434140
61000223450332000
746014356666160
oct6665575012600
91600820084830
10471069889920
11171863743613
127736842a000
1335563623546
1418b2ad1a5a0
15c3c0de3a30
hex6dadf41580

471069889920 has 512 divisors, whose sum is σ = 1915851801600. Its totient is φ = 107157012480.

The previous prime is 471069889889. The next prime is 471069889987. The reversal of 471069889920 is 29988960174.

471069889920 is a `hidden beast` number, since 471 + 0 + 69 + 8 + 89 + 9 + 20 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 25513332 + ... + 25531788.

It is an arithmetic number, because the mean of its divisors is an integer number (3741898050).

Almost surely, 2471069889920 is an apocalyptic number.

471069889920 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 471069889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957925900800).

471069889920 is an abundant number, since it is smaller than the sum of its proper divisors (1444781911680).

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

471069889920 is a wasteful number, since it uses less digits than its factorization.

471069889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 471069889920 in words is "four hundred seventy-one billion, sixty-nine million, eight hundred eighty-nine thousand, nine hundred twenty".