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89707114224 = 243371317269499
BaseRepresentation
bin101001110001011110…
…1011110111011110000
322120112211202120101000
41103202331132323300
52432210010123344
6105113314442000
76324011614110
oct1234275367360
9276484676330
1089707114224
1135054366732
1215476893300
1385c82456a0
1444b005b040
1525007c5a69
hex14e2f5eef0

89707114224 has 640 divisors, whose sum is σ = 337478400000. Its totient is φ = 22140076032.

The previous prime is 89707114193. The next prime is 89707114229. The reversal of 89707114224 is 42241170798.

It is a self number, because there is not a number n which added to its sum of digits gives 89707114224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89707114229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179773527 + ... + 179774025.

It is an arithmetic number, because the mean of its divisors is an integer number (527310000).

Almost surely, 289707114224 is an apocalyptic number.

89707114224 is a gapful number since it is divisible by the number (84) 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 89707114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200000).

89707114224 is an abundant number, since it is smaller than the sum of its proper divisors (247771285776).

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

89707114224 is a wasteful number, since it uses less digits than its factorization.

89707114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 89707114224 in words is "eighty-nine billion, seven hundred seven million, one hundred fourteen thousand, two hundred twenty-four".