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17890820096 = 2143313299
BaseRepresentation
bin10000101010011000…
…000100000000000000
31201011211201211100112
4100222120010000000
5243120022220341
612115142210452
71202231314232
oct205230040000
951154654315
1017890820096
1176509a0a36
123573723a28
1318c17245a6
14c1a12a252
156ea9ddaeb
hex42a604000

17890820096 has 60 divisors (see below), whose sum is σ = 35899525200. Its totient is φ = 8915681280.

The previous prime is 17890820093. The next prime is 17890820107. The reversal of 17890820096 is 69002809871.

It is not an unprimeable number, because it can be changed into a prime (17890820093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5421455 + ... + 5424753.

It is an arithmetic number, because the mean of its divisors is an integer number (598325420).

Almost surely, 217890820096 is an apocalyptic number.

17890820096 is a gapful number since it is divisible by the number (16) 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 17890820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949762600).

17890820096 is an abundant number, since it is smaller than the sum of its proper divisors (18008705104).

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

17890820096 is an frugal number, since it uses more digits than its factorization.

17890820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 50.

The spelling of 17890820096 in words is "seventeen billion, eight hundred ninety million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 331 512 662 1024 1324 2048 2648 3299 4096 5296 6598 8192 10592 13196 16384 21184 26392 42368 52784 84736 105568 169472 211136 338944 422272 677888 844544 1091969 1355776 1689088 2183938 2711552 3378176 4367876 5423104 6756352 8735752 13512704 17471504 27025408 34943008 54050816 69886016 139772032 279544064 559088128 1118176256 2236352512 4472705024 8945410048 17890820096