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285240291230720 = 21057219232314189
BaseRepresentation
bin100000011011011001010111…
…0001111000000010000000000
31101101221201001022221111001102
41000312302232033000100000
5244341334104023340340
62450353325241353532
7114036634216112300
oct10066625617002000
91341851038844042
10285240291230720
1182982801223131
1227ba95904988a8
13c321075a04237
1450619bd17d600
1522e9b4b9d1215
hex1036cae3c0400

285240291230720 has 3168 divisors, whose sum is σ = 936571318502400. Its totient is φ = 82730601676800.

The previous prime is 285240291230633. The next prime is 285240291230731. The reversal of 285240291230720 is 27032192042582.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3204947092436 + ... + 3204947092524.

Almost surely, 2285240291230720 is an apocalyptic number.

285240291230720 is a gapful number since it is divisible by the number (20) 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 285240291230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468285659251200).

285240291230720 is an abundant number, since it is smaller than the sum of its proper divisors (651331027271680).

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

285240291230720 is a wasteful number, since it uses less digits than its factorization.

285240291230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 285240291230720 in words is "two hundred eighty-five trillion, two hundred forty billion, two hundred ninety-one million, two hundred thirty thousand, seven hundred twenty".