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20333234304 = 273431411543
BaseRepresentation
bin10010111011111101…
…001000100010000000
31221111001120022210000
4102323331020202000
5313120301444204
613201351440000
71316606432325
oct227375104200
957431508700
1020333234304
118694642979
123b35686000
131bc07408b6
14dac66ab4c
157e0142039
hex4bbf48880

20333234304 has 320 divisors, whose sum is σ = 64028321280. Its totient is φ = 6394982400.

The previous prime is 20333234287. The next prime is 20333234309. The reversal of 20333234304 is 40343233302.

20333234304 is a `hidden beast` number, since 2 + 0 + 33 + 323 + 4 + 304 = 666.

It is a super-2 number, since 2×203332343042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20333234309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13176957 + ... + 13178499.

It is an arithmetic number, because the mean of its divisors is an integer number (200088504).

Almost surely, 220333234304 is an apocalyptic number.

20333234304 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 20333234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32014160640).

20333234304 is an abundant number, since it is smaller than the sum of its proper divisors (43695086976).

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

20333234304 is a wasteful number, since it uses less digits than its factorization.

20333234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 20333234304 its reverse (40343233302), we get a palindrome (60676467606).

The spelling of 20333234304 in words is "twenty billion, three hundred thirty-three million, two hundred thirty-four thousand, three hundred four".