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20432796384 = 2537111319331
BaseRepresentation
bin10011000001111000…
…111011101011100000
31221201222220121021110
4103001320323223200
5313321243441014
613215305423320
71322225621640
oct230170735340
957658817243
1020432796384
118735865390
123b62a9ab40
131c0825cc80
14dbb986520
157e8c5bd59
hex4c1e3bae0

20432796384 has 768 divisors, whose sum is σ = 78467235840. Its totient is φ = 4491417600.

The previous prime is 20432796359. The next prime is 20432796389. The reversal of 20432796384 is 48369723402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432796389) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 659122449 + ... + 659122479.

It is an arithmetic number, because the mean of its divisors is an integer number (102170880).

Almost surely, 220432796384 is an apocalyptic number.

20432796384 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 20432796384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39233617920).

20432796384 is an abundant number, since it is smaller than the sum of its proper divisors (58034439456).

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

20432796384 is a wasteful number, since it uses less digits than its factorization.

20432796384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 20432796384 in words is "twenty billion, four hundred thirty-two million, seven hundred ninety-six thousand, three hundred eighty-four".