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1166146542 = 2321113144959
BaseRepresentation
bin100010110000001…
…1111101111101110
310000021022101022200
41011200133233232
54342013142132
6311414322330
740620040101
oct10540375756
93007271280
101166146542
11549294180
122866593a6
131577a0552
14b0c3a738
156c59ed7c
hex4581fbee

1166146542 has 48 divisors (see below), whose sum is σ = 2777448960. Its totient is φ = 350672400.

The previous prime is 1166146523. The next prime is 1166146549. The reversal of 1166146542 is 2456416611.

1166146542 is a `hidden beast` number, since 1 + 16 + 61 + 46 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1166146497 and 1166146506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166146549) 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, 3459 + ... + 48417.

It is an arithmetic number, because the mean of its divisors is an integer number (57863520).

Almost surely, 21166146542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166146542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388724480).

1166146542 is an abundant number, since it is smaller than the sum of its proper divisors (1611302418).

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

1166146542 is a wasteful number, since it uses less digits than its factorization.

1166146542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45109 (or 45106 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1166146542 is about 34148.8878589040. The cubic root of 1166146542 is about 1052.5701337632.

The spelling of 1166146542 in words is "one billion, one hundred sixty-six million, one hundred forty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 1179 1441 2358 2882 4323 8646 12969 25938 44959 89918 134877 269754 404631 494549 809262 989098 1483647 2967294 4450941 5889629 8901882 11779258 17668887 35337774 53006661 64785919 106013322 129571838 194357757 388715514 583073271 1166146542