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89992775808 = 273213331237
BaseRepresentation
bin101001111001111111…
…1001100100010000000
322121021202021200101200
41103303333030202000
52433301122311213
6105201521301200
76334050654525
oct1236377144200
9277252250350
1089992775808
1135190637491
1215536494800
138642493000
1444d9d7b14c
15251a901273
hex14f3fcc880

89992775808 has 576 divisors, whose sum is σ = 297709939800. Its totient is φ = 26072616960.

The previous prime is 89992775779. The next prime is 89992775833. The reversal of 89992775808 is 80857729998.

It can be written as a sum of positive squares in 4 ways, for example, as 15437565504 + 74555210304 = 124248^2 + 273048^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2432237166 + ... + 2432237202.

Almost surely, 289992775808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89992775808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148854969900).

89992775808 is an abundant number, since it is smaller than the sum of its proper divisors (207717163992).

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

89992775808 is a wasteful number, since it uses less digits than its factorization.

89992775808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 89992775808 in words is "eighty-nine billion, nine hundred ninety-two million, seven hundred seventy-five thousand, eight hundred eight".