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4530331104 = 2531314232551
BaseRepresentation
bin1000011100000011…
…10101110111100000
3102200201121122221220
410032001311313200
533234231043404
62025312415040
7220160115255
oct41601656740
912621548856
104530331104
111a152878a2
12a65247480
135727663c0
1430d96342c
151b7ad04d9
hex10e075de0

4530331104 has 96 divisors (see below), whose sum is σ = 12820921344. Its totient is φ = 1392422400.

The previous prime is 4530331087. The next prime is 4530331129. The reversal of 4530331104 is 4011330354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774629 + ... + 1777179.

It is an arithmetic number, because the mean of its divisors is an integer number (133551264).

Almost surely, 24530331104 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 4530331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410460672).

4530331104 is an abundant number, since it is smaller than the sum of its proper divisors (8290590240).

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

4530331104 is a wasteful number, since it uses less digits than its factorization.

4530331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4530331104 is about 67307.7343549759. The cubic root of 4530331104 is about 1654.6646216058.

Adding to 4530331104 its reverse (4011330354), we get a palindrome (8541661458).

The spelling of 4530331104 in words is "four billion, five hundred thirty million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1423 2551 2846 4269 5102 5692 7653 8538 10204 11384 15306 17076 18499 20408 22768 30612 33163 34152 36998 40816 45536 55497 61224 66326 68304 73996 81632 99489 110994 122448 132652 136608 147992 198978 221988 244896 265304 295984 397956 443976 530608 591968 795912 887952 1061216 1591824 1775904 3183648 3630073 7260146 10890219 14520292 21780438 29040584 43560876 47190949 58081168 87121752 94381898 116162336 141572847 174243504 188763796 283145694 348487008 377527592 566291388 755055184 1132582776 1510110368 2265165552 4530331104