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4164604542 = 2327317115017
BaseRepresentation
bin1111100000111010…
…1101001001111110
3101202020102211102200
43320032231021332
532012114321132
61525125532330
7205126361130
oct37016551176
911666384380
104164604542
1118478a103a
129828740a6
13514a64c57
142b7161050
1519593bd7c
hexf83ad27e

4164604542 has 96 divisors (see below), whose sum is σ = 10795659264. Its totient is φ = 1135209600.

The previous prime is 4164604531. The next prime is 4164604589. The reversal of 4164604542 is 2454064614.

4164604542 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 604 + 5 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4164604497 and 4164604506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269818 + ... + 284834.

It is an arithmetic number, because the mean of its divisors is an integer number (112454784).

Almost surely, 24164604542 is an apocalyptic number.

4164604542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164604542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397829632).

4164604542 is an abundant number, since it is smaller than the sum of its proper divisors (6631054722).

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

4164604542 is a wasteful number, since it uses less digits than its factorization.

4164604542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15134 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4164604542 is about 64533.7473110000. The cubic root of 4164604542 is about 1608.8834692741.

The spelling of 4164604542 in words is "four billion, one hundred sixty-four million, six hundred four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 71 93 126 142 186 213 217 279 426 434 497 558 639 651 994 1278 1302 1491 1953 2201 2982 3906 4402 4473 6603 8946 13206 15017 15407 19809 30034 30814 39618 45051 46221 90102 92442 105119 135153 138663 210238 270306 277326 315357 465527 630714 931054 946071 1066207 1396581 1892142 2132414 2793162 3198621 3258689 4189743 6397242 6517378 7463449 8379486 9595863 9776067 14926898 19191726 19552134 22390347 29328201 33052417 44780694 58656402 66104834 67171041 99157251 134342082 198314502 231366919 297471753 462733838 594943506 694100757 1388201514 2082302271 4164604542