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20147643776 = 27131923103269
BaseRepresentation
bin10010110000111001…
…001010010110000000
31221000010100100102202
4102300321022112000
5312230244100101
613131121532332
71312164101141
oct226071122600
957003310382
1020147643776
1185a9901a77
123aa34a40a8
131b91160210
14d91b59ac8
157cdbd236b
hex4b0e4a580

20147643776 has 256 divisors, whose sum is σ = 48117888000. Its totient is φ = 8313643008.

The previous prime is 20147643749. The next prime is 20147643839. The reversal of 20147643776 is 67734674102.

It is a self number, because there is not a number n which added to its sum of digits gives 20147643776.

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 31 ways as a sum of consecutive naturals, for example, 74898170 + ... + 74898438.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 220147643776 is an apocalyptic number.

20147643776 is a gapful number since it is divisible by the number (26) 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 20147643776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944000).

20147643776 is an abundant number, since it is smaller than the sum of its proper divisors (27970244224).

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

20147643776 is a wasteful number, since it uses less digits than its factorization.

20147643776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 20147643776 in words is "twenty billion, one hundred forty-seven million, six hundred forty-three thousand, seven hundred seventy-six".