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12024068430 = 23511595991031
BaseRepresentation
bin10110011001011000…
…01011100101001110
31011000222101222000210
423030230023211032
5144111130142210
65305045303250
7603652616043
oct131454134516
934028358023
1012024068430
115110300640
1223b6a04b26
1311981409ba
14820cc51ca
154a5926e20
hex2ccb0b94e

12024068430 has 128 divisors (see below), whose sum is σ = 32099328000. Its totient is φ = 2857961600.

The previous prime is 12024068423. The next prime is 12024068449. The reversal of 12024068430 is 3486042021.

12024068430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11662015 + ... + 11663045.

It is an arithmetic number, because the mean of its divisors is an integer number (250776000).

Almost surely, 212024068430 is an apocalyptic number.

12024068430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12024068430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16049664000).

12024068430 is an abundant number, since it is smaller than the sum of its proper divisors (20075259570).

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

12024068430 is a wasteful number, since it uses less digits than its factorization.

12024068430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12024068430 in words is "twelve billion, twenty-four million, sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 599 649 885 1031 1198 1298 1770 1797 1947 2062 2995 3093 3245 3594 3894 5155 5990 6186 6490 6589 8985 9735 10310 11341 13178 15465 17970 19470 19767 22682 30930 32945 34023 35341 39534 56705 60829 65890 68046 70682 98835 106023 113410 121658 170115 176705 182487 197670 212046 304145 340230 353410 364974 388751 530115 608290 617569 669119 777502 912435 1060230 1166253 1235138 1338238 1824870 1852707 1943755 2007357 2332506 3087845 3345595 3705414 3887510 4014714 5831265 6175690 6691190 6793259 9263535 10036785 11662530 13586518 18527070 20073570 20379777 33966295 36436571 40759554 67932590 72873142 101898885 109309713 182182855 203797770 218619426 364365710 400802281 546548565 801604562 1093097130 1202406843 2004011405 2404813686 4008022810 6012034215 12024068430