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1668165156 = 22327137211229
BaseRepresentation
bin110001101101110…
…0010111000100100
311022020221120101200
41203123202320210
511404022241111
6433310322500
756224112160
oct14333427044
94266846350
101668165156
117866aa199
123a67b9430
132077b1398
1411b799ca0
159b6b6256
hex636e2e24

1668165156 has 144 divisors (see below), whose sum is σ = 4898624640. Its totient is φ = 468840960.

The previous prime is 1668165133. The next prime is 1668165157. The reversal of 1668165156 is 6515618661.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1668165157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7284450 + ... + 7284678.

Almost surely, 21668165156 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 1668165156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449312320).

1668165156 is an abundant number, since it is smaller than the sum of its proper divisors (3230459484).

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

1668165156 is a wasteful number, since it uses less digits than its factorization.

1668165156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1668165156 is about 40843.1775943058. The cubic root of 1668165156 is about 1185.9863261696.

The spelling of 1668165156 in words is "one billion, six hundred sixty-eight million, one hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 211 229 252 274 411 422 458 548 633 687 822 844 916 959 1233 1266 1374 1477 1603 1644 1899 1918 2061 2466 2532 2748 2877 2954 3206 3798 3836 4122 4431 4809 4932 5754 5908 6412 7596 8244 8631 8862 9618 11508 13293 14427 17262 17724 19236 26586 28854 28907 31373 34524 48319 53172 57708 57814 62746 86721 94119 96638 115628 125492 144957 173442 188238 193276 202349 219611 260163 282357 289914 338233 346884 376476 404698 434871 439222 520326 564714 579828 607047 658833 676466 809396 869742 878444 1014699 1040652 1129428 1214094 1317666 1352932 1739484 1821141 1976499 2029398 2428188 2635332 3044097 3642282 3952998 4058796 6088194 6619703 7284564 7905996 12176388 13239406 19859109 26478812 39718218 46337921 59577327 79436436 92675842 119154654 139013763 185351684 238309308 278027526 417041289 556055052 834082578 1668165156