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60146091009 = 32817492
BaseRepresentation
bin111000000000111111…
…001000010000000001
312202020200110222221100
4320000333020100001
51441134344403014
643344123245013
74226322224004
oct700077102001
9182220428840
1060146091009
112356499a434
12b7a6979769
135896abaa84
142ca804153b
1518704ae009
hexe00fc8401

60146091009 has 9 divisors (see below), whose sum is σ = 86878749763. Its totient is φ = 40096903512.

The previous prime is 60146090987. The next prime is 60146091037. The reversal of 60146091009 is 90019064106.

The square root of 60146091009 is 245247.

It is a perfect power (a square), and thus also a powerful number.

60146091009 is a `hidden beast` number, since 601 + 46 + 0 + 9 + 1 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1591770609 + 58554320400 = 39897^2 + 241980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 60146091009 - 225 = 60112536577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (60146091059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 694867 + ... + 776615.

Almost surely, 260146091009 is an apocalyptic number.

60146091009 is the 245247-th square number.

60146091009 is the 122624-th centered octagonal number.

It is an amenable number.

60146091009 is a deficient number, since it is larger than the sum of its proper divisors (26732658754).

60146091009 is an frugal number, since it uses more digits than its factorization.

60146091009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163504 (or 81752 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 60146091009 by its sum of digits (36), we get a square (2165259276324 = 14714822).

Multiplying 60146091009 by its product of nonzero digits (11664), we get a square (701544005528976 = 264866762).

The spelling of 60146091009 in words is "sixty billion, one hundred forty-six million, ninety-one thousand, nine".

Divisors: 1 3 9 81749 245247 735741 6682899001 20048697003 60146091009