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1133161812 = 223434710079
BaseRepresentation
bin100001110001010…
…1010110101010100
32220222020120210000
41003202222311110
54310042134222
6304235331300
740036500516
oct10342526524
92828216700
101133161812
11531705272
122775b0b30
131509c1b63
14aa6d1bb6
15697369ac
hex438aad54

1133161812 has 60 divisors (see below), whose sum is σ = 2971140480. Its totient is φ = 376594704.

The previous prime is 1133161811. The next prime is 1133161871. The reversal of 1133161812 is 2181613311.

1133161812 is a `hidden beast` number, since 1 + 1 + 3 + 31 + 618 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133161811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107389 + ... + 117467.

It is an arithmetic number, because the mean of its divisors is an integer number (49519008).

Almost surely, 21133161812 is an apocalyptic number.

1133161812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133161812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485570240).

1133161812 is an abundant number, since it is smaller than the sum of its proper divisors (1837978668).

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

1133161812 is a wasteful number, since it uses less digits than its factorization.

1133161812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10431 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1133161812 is about 33662.4688934130. The cubic root of 1133161812 is about 1042.5510021112.

The spelling of 1133161812 in words is "one billion, one hundred thirty-three million, one hundred sixty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 347 694 1041 1388 2082 3123 4164 6246 9369 10079 12492 18738 20158 28107 30237 37476 40316 56214 60474 90711 112428 120948 181422 272133 362844 544266 816399 1088532 1632798 3265596 3497413 6994826 10492239 13989652 20984478 31476717 41968956 62953434 94430151 125906868 188860302 283290453 377720604 566580906 1133161812