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20429504928 = 25327217314167
BaseRepresentation
bin10011000001101100…
…011000000110100000
31221201202201101020200
4103001230120012200
5313314423124203
613215111105200
71322155632600
oct230154300640
957652641220
1020429504928
118733a17478
123b61972200
131c07679a71
14dbb36ac00
157e880b9a3
hex4c1b181a0

20429504928 has 864 divisors, whose sum is σ = 76796149248. Its totient is φ = 5109350400.

The previous prime is 20429504873. The next prime is 20429504947. The reversal of 20429504928 is 82940592402.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304917951 + ... + 304918017.

It is an arithmetic number, because the mean of its divisors is an integer number (88884432).

Almost surely, 220429504928 is an apocalyptic number.

20429504928 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 20429504928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38398074624).

20429504928 is an abundant number, since it is smaller than the sum of its proper divisors (56366644320).

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

20429504928 is a wasteful number, since it uses less digits than its factorization.

20429504928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20429504928 in words is "twenty billion, four hundred twenty-nine million, five hundred four thousand, nine hundred twenty-eight".