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28909237340160 = 2113354143127467
BaseRepresentation
bin1101001001010111101001…
…10100101000100000000000
310210100200210110022111021000
412210223310310220200000
512242122104224341120
6141252415325532000
76042423564636432
oct644536464504000
9123320713274230
1028909237340160
11923637a8a8491
1232aa979114000
13131918b343538
1471d300a3a652
15351ee0287990
hex1a4af4d28800

28909237340160 has 1536 divisors, whose sum is σ = 108798507417600. Its totient is φ = 7272742256640.

The previous prime is 28909237340141. The next prime is 28909237340173. The reversal of 28909237340160 is 6104373290982.

28909237340160 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 9 + 237 + 340 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28909237340097 and 28909237340106.

It is an unprimeable number.

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, 61904148247 + ... + 61904148713.

It is an arithmetic number, because the mean of its divisors is an integer number (70832361600).

Almost surely, 228909237340160 is an apocalyptic number.

28909237340160 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 28909237340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54399253708800).

28909237340160 is an abundant number, since it is smaller than the sum of its proper divisors (79889270077440).

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

28909237340160 is a wasteful number, since it uses less digits than its factorization.

28909237340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 28909237340160 in words is "twenty-eight trillion, nine hundred nine billion, two hundred thirty-seven million, three hundred forty thousand, one hundred sixty".