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90079606188 = 22321113173133203
BaseRepresentation
bin101001111100100101…
…0011011010110101100
322121111210200010021200
41103321022123112230
52433440334344223
6105214302325500
76336154006365
oct1237112332654
9277453603250
1090079606188
1135225653430
121555b589890
138657475330
144507700b6c
152523353a43
hex14f929b5ac

90079606188 has 288 divisors, whose sum is σ = 292390705152. Its totient is φ = 22949222400.

The previous prime is 90079606181. The next prime is 90079606217. The reversal of 90079606188 is 88160697009.

It is a super-2 number, since 2×900796061882 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90079606181) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2696395 + ... + 2729597.

It is an arithmetic number, because the mean of its divisors is an integer number (1015245504).

Almost surely, 290079606188 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 90079606188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146195352576).

90079606188 is an abundant number, since it is smaller than the sum of its proper divisors (202311098964).

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

90079606188 is a wasteful number, since it uses less digits than its factorization.

90079606188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33285 (or 33280 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 90079606188 in words is "ninety billion, seventy-nine million, six hundred six thousand, one hundred eighty-eight".