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89285379120 = 243257192311583
BaseRepresentation
bin101001100100111010…
…0101100010000110000
322112110110012012120100
41103021310230100300
52430324024112440
6105003411312400
76310401125520
oct1231164542060
9275413165510
1089285379120
11349582a5923
12153795ab700
13855ba63ca2
144470039680
1524c876c230
hex14c9d2c430

89285379120 has 720 divisors, whose sum is σ = 373573804032. Its totient is φ = 18698480640.

The previous prime is 89285379119. The next prime is 89285379173. The reversal of 89285379120 is 2197358298.

89285379120 is a `hidden beast` number, since 8 + 92 + 8 + 537 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56401849 + ... + 56403431.

Almost surely, 289285379120 is an apocalyptic number.

89285379120 is a gapful number since it is divisible by the number (80) 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 89285379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186786902016).

89285379120 is an abundant number, since it is smaller than the sum of its proper divisors (284288424912).

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

89285379120 is a wasteful number, since it uses less digits than its factorization.

89285379120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 89285379120 in words is "eighty-nine billion, two hundred eighty-five million, three hundred seventy-nine thousand, one hundred twenty".