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9061421952 = 273113721567
BaseRepresentation
bin10000111000001101…
…00101001110000000
3212101111122221002110
420130012211032000
5122024211000302
64055053415320
7440356546542
oct103406451600
925344587073
109061421952
11392aa33480
12190a79a540
13b1540754b
1461d643692
153807b0b6c
hex21c1a5380

9061421952 has 192 divisors, whose sum is σ = 27003594240. Its totient is φ = 2669967360.

The previous prime is 9061421947. The next prime is 9061421953. The reversal of 9061421952 is 2591241609.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×90614219523 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9061421952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9061421953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5781873 + ... + 5783439.

It is an arithmetic number, because the mean of its divisors is an integer number (140643720).

Almost surely, 29061421952 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 9061421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501797120).

9061421952 is an abundant number, since it is smaller than the sum of its proper divisors (17942172288).

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

9061421952 is a wasteful number, since it uses less digits than its factorization.

9061421952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 9061421952 is about 95191.5014694064. The cubic root of 9061421952 is about 2084.8050548948.

The spelling of 9061421952 in words is "nine billion, sixty-one million, four hundred twenty-one thousand, nine hundred fifty-two".