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20240894520 = 233357211229109
BaseRepresentation
bin10010110110011100…
…111000101000111000
31221020121210222102000
4102312130320220320
5312423132111040
613144252341000
71314405523200
oct226634705070
957217728360
1020240894520
118647503700
123b0a774760
131ba757c982
14da02b1400
157d6ea2130
hex4b6738a38

20240894520 has 1152 divisors, whose sum is σ = 90062280000. Its totient is φ = 4023613440.

The previous prime is 20240894519. The next prime is 20240894543. The reversal of 20240894520 is 2549804202.

20240894520 is a `hidden beast` number, since 2 + 0 + 2 + 40 + 8 + 94 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 185696226 + ... + 185696334.

Almost surely, 220240894520 is an apocalyptic number.

20240894520 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 20240894520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45031140000).

20240894520 is an abundant number, since it is smaller than the sum of its proper divisors (69821385480).

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

20240894520 is a wasteful number, since it uses less digits than its factorization.

20240894520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20240894520 in words is "twenty billion, two hundred forty million, eight hundred ninety-four thousand, five hundred twenty".