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1661166012 = 22311107337349
BaseRepresentation
bin110001100000011…
…0110000110111100
311021202202222101010
41203000312012330
511400224303022
6432500315220
756110451412
oct14300660674
94252688333
101661166012
11782759680
123a43a2b10
1320620068c
1411a8972b2
159ac8250c
hex630361bc

1661166012 has 96 divisors (see below), whose sum is σ = 4292870400. Its totient is φ = 495774720.

The previous prime is 1661165977. The next prime is 1661166019. The reversal of 1661166012 is 2106611661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661166019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4759614 + ... + 4759962.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 21661166012 is an apocalyptic number.

1661166012 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 1661166012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1661166012 is an abundant number, since it is smaller than the sum of its proper divisors (2631704388).

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

1661166012 is a wasteful number, since it uses less digits than its factorization.

1661166012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1661166012 is about 40757.4043825168. The cubic root of 1661166012 is about 1184.3253144544.

Adding to 1661166012 its reverse (2106611661), we get a palindrome (3767777673).

The spelling of 1661166012 in words is "one billion, six hundred sixty-one million, one hundred sixty-six thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 337 349 428 642 674 698 1011 1047 1177 1284 1348 1396 2022 2094 2354 3531 3707 3839 4044 4188 4708 7062 7414 7678 11121 11517 14124 14828 15356 22242 23034 36059 37343 44484 46068 72118 74686 108177 112029 117613 144236 149372 216354 224058 235226 352839 396649 410773 432708 448116 470452 705678 793298 821546 1189947 1232319 1293743 1411356 1586596 1643092 2379894 2464638 2587486 3881229 4759788 4929276 5174972 7762458 12584591 15524916 25169182 37753773 50338364 75507546 138430501 151015092 276861002 415291503 553722004 830583006 1661166012