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28141810560 = 27355593067
BaseRepresentation
bin11010001101011000…
…011111001110000000
32200122020210002200000
4122031120133032000
5430113300414220
620532252400000
72014244304633
oct321530371600
980566702600
1028141810560
1110a31355886
125554776000
132866410216
14150d745c1a
15aea929390
hex68d61f380

28141810560 has 384 divisors, whose sum is σ = 102517833600. Its totient is φ = 7374882816.

The previous prime is 28141810549. The next prime is 28141810621. The reversal of 28141810560 is 6501814182.

28141810560 is a `hidden beast` number, since 2 + 8 + 14 + 1 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9174147 + ... + 9177213.

It is an arithmetic number, because the mean of its divisors is an integer number (266973525).

Almost surely, 228141810560 is an apocalyptic number.

28141810560 is a gapful number since it is divisible by the number (20) 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 28141810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51258916800).

28141810560 is an abundant number, since it is smaller than the sum of its proper divisors (74376023040).

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

28141810560 is an equidigital number, since it uses as much as digits as its factorization.

28141810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3160 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 28141810560 in words is "twenty-eight billion, one hundred forty-one million, eight hundred ten thousand, five hundred sixty".