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428575847883480 = 2333511311697685753
BaseRepresentation
bin110000101110010011001011…
…1001011000010001011011000
32002012110110011201111102211000
41201130212113023002023120
5422133241314024232410
64115301005415505000
7156162404016144603
oct14134462713021330
92065413151442730
10428575847883480
11114614aa61a9890
1240098a54388160
131551a6b53c671b
1477b92788b333a
153483394759dc0
hex185c9972c22d8

428575847883480 has 512 divisors, whose sum is σ = 1609680787660800. Its totient is φ = 100486257868800.

The previous prime is 428575847883419. The next prime is 428575847883481. The reversal of 428575847883480 is 84388748575824.

428575847883480 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 7 + 58 + 4 + 7 + 8 + 83 + 480 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 428575847883480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428575847883481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 624628284 + ... + 625314036.

It is an arithmetic number, because the mean of its divisors is an integer number (3143907788400).

Almost surely, 2428575847883480 is an apocalyptic number.

428575847883480 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 428575847883480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804840393830400).

428575847883480 is an abundant number, since it is smaller than the sum of its proper divisors (1181104939777320).

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

428575847883480 is a wasteful number, since it uses less digits than its factorization.

428575847883480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687512 (or 687502 counting only the distinct ones).

The product of its (nonzero) digits is 15414067200, while the sum is 81.

The spelling of 428575847883480 in words is "four hundred twenty-eight trillion, five hundred seventy-five billion, eight hundred forty-seven million, eight hundred eighty-three thousand, four hundred eighty".