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9150000060 = 22351015232887
BaseRepresentation
bin10001000010110000…
…11110101110111100
3212121200100011102010
420201120132232330
5122214400000220
64111540131220
7442513501005
oct104130365674
925550304363
109150000060
113975a33523
121934396b10
13b2a87c226
1462b3001ac
1538845b1e0
hex22161ebbc

9150000060 has 96 divisors (see below), whose sum is σ = 25932114432. Its totient is φ = 2410387200.

The previous prime is 9150000043. The next prime is 9150000089. The reversal of 9150000060 is 600000519.

9150000060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 9149999991 and 9150000036.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3167937 + ... + 3170823.

It is an arithmetic number, because the mean of its divisors is an integer number (270126192).

Almost surely, 29150000060 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 9150000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966057216).

9150000060 is an abundant number, since it is smaller than the sum of its proper divisors (16782114372).

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

9150000060 is a wasteful number, since it uses less digits than its factorization.

9150000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 9150000060 is about 95655.6326621700. The cubic root of 9150000060 is about 2091.5762366651.

Adding to 9150000060 its reverse (600000519), we get a palindrome (9750000579).

The spelling of 9150000060 in words is "nine billion, one hundred fifty million, sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 523 606 1010 1046 1212 1515 1569 2020 2092 2615 2887 3030 3138 5230 5774 6060 6276 7845 8661 10460 11548 14435 15690 17322 28870 31380 34644 43305 52823 57740 86610 105646 158469 173220 211292 264115 291587 316938 528230 583174 633876 792345 874761 1056460 1166348 1457935 1509901 1584690 1749522 2915870 3019802 3169380 3499044 4373805 4529703 5831740 6039604 7549505 8747610 9059406 15099010 17495220 18118812 22648515 30198020 45297030 90594060 152500001 305000002 457500003 610000004 762500005 915000006 1525000010 1830000012 2287500015 3050000020 4575000030 9150000060