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89300095248 = 243713731032719
BaseRepresentation
bin101001100101010110…
…0110101000100010000
322112111110212212022010
41103022230311010100
52430341311021443
6105005054542520
76310640166630
oct1231254650420
9275443785263
1089300095248
1134965637311
1215382507a40
138561b17360
144471d8a6c0
1524c9bc7733
hex14cab35110

89300095248 has 320 divisors, whose sum is σ = 290719170560. Its totient is φ = 22995062784.

The previous prime is 89300095217. The next prime is 89300095267. The reversal of 89300095248 is 84259000398.

It is a super-2 number, since 2×893000952482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 89300095197 and 89300095206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32841633 + ... + 32844351.

It is an arithmetic number, because the mean of its divisors is an integer number (908497408).

Almost surely, 289300095248 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 89300095248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145359585280).

89300095248 is an abundant number, since it is smaller than the sum of its proper divisors (201419075312).

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

89300095248 is a wasteful number, since it uses less digits than its factorization.

89300095248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 89300095248 in words is "eighty-nine billion, three hundred million, ninety-five thousand, two hundred forty-eight".