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20454190848 = 2833713311049
BaseRepresentation
bin10011000011001010…
…100010111100000000
31221210111011112222000
4103003022202330000
5313342233101343
613221352144000
71322605516320
oct230312427400
957714145860
1020454190848
118746948363
123b6a098000
131c0c811010
14dc0755280
157eaa85ed3
hex4c32a2f00

20454190848 has 576 divisors, whose sum is σ = 76919808000. Its totient is φ = 5215518720.

The previous prime is 20454190847. The next prime is 20454190873. The reversal of 20454190848 is 84809145402.

20454190848 is a `hidden beast` number, since 2 + 0 + 454 + 190 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20454190847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19498228 + ... + 19499276.

Almost surely, 220454190848 is an apocalyptic number.

20454190848 is a gapful number since it is divisible by the number (28) 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 20454190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38459904000).

20454190848 is an abundant number, since it is smaller than the sum of its proper divisors (56465617152).

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

20454190848 is a wasteful number, since it uses less digits than its factorization.

20454190848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 20454190848 in words is "twenty billion, four hundred fifty-four million, one hundred ninety thousand, eight hundred forty-eight".