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20241854304 = 2537172961099
BaseRepresentation
bin10010110110100000…
…100010111101100000
31221020200121201222120
4102312200202331200
5312423403314204
613144325104240
71314416631330
oct226640427540
957220551876
1020241854304
118647aa9811
123b0ab58080
131ba78277a9
14da04810c0
157d70e16d9
hex4b6822f60

20241854304 has 192 divisors, whose sum is σ = 66515904000. Its totient is φ = 5255405568.

The previous prime is 20241854273. The next prime is 20241854417. The reversal of 20241854304 is 40345814202.

It is a super-3 number, since 3×202418543043 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300747 + ... + 361845.

It is an arithmetic number, because the mean of its divisors is an integer number (346437000).

Almost surely, 220241854304 is an apocalyptic number.

20241854304 is a gapful number since it is divisible by the number (24) 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 20241854304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33257952000).

20241854304 is an abundant number, since it is smaller than the sum of its proper divisors (46274049696).

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

20241854304 is a wasteful number, since it uses less digits than its factorization.

20241854304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61165 (or 61157 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 20241854304 in words is "twenty billion, two hundred forty-one million, eight hundred fifty-four thousand, three hundred four".