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27193152480 = 2535137955163
BaseRepresentation
bin11001010100110101…
…101001001111100000
32121012010201021102120
4121110311221033200
5421142421334410
620254203344240
71651604660634
oct312465511740
977163637376
1027193152480
1110594909a3a
12532ab22080
132744a0b190
14145d760dc4
15a924da570
hex654d693e0

27193152480 has 192 divisors, whose sum is σ = 93416924160. Its totient is φ = 6608848896.

The previous prime is 27193152473. The next prime is 27193152509. The reversal of 27193152480 is 8425139172.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 465379 + ... + 520541.

It is an arithmetic number, because the mean of its divisors is an integer number (486546480).

Almost surely, 227193152480 is an apocalyptic number.

27193152480 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 27193152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46708462080).

27193152480 is an abundant number, since it is smaller than the sum of its proper divisors (66223771680).

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

27193152480 is a wasteful number, since it uses less digits than its factorization.

27193152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55273 (or 55265 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 27193152480 in words is "twenty-seven billion, one hundred ninety-three million, one hundred fifty-two thousand, four hundred eighty".