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20296583424 = 2834131743103
BaseRepresentation
bin10010111001110001…
…010100100100000000
31221101111121021020000
4102321301110210000
5313031411132144
613154002120000
71315653053415
oct227161244400
957344537200
1020296583424
11867598a597
123b25350000
131bb5c7a5a0
14da784a10c
157dbd02769
hex4b9c54900

20296583424 has 720 divisors, whose sum is σ = 71300541312. Its totient is φ = 5685313536.

The previous prime is 20296583287. The next prime is 20296583449. The reversal of 20296583424 is 42438569202.

20296583424 is a `hidden beast` number, since 2 + 0 + 29 + 6 + 583 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20296583424.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 197054157 + ... + 197054259.

Almost surely, 220296583424 is an apocalyptic number.

20296583424 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 20296583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35650270656).

20296583424 is an abundant number, since it is smaller than the sum of its proper divisors (51003957888).

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

20296583424 is a wasteful number, since it uses less digits than its factorization.

20296583424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 20296583424 in words is "twenty billion, two hundred ninety-six million, five hundred eighty-three thousand, four hundred twenty-four".