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12024278070 = 2357224133941
BaseRepresentation
bin10110011001011001…
…11110110000110110
31011000222210121121020
423030230332300312
5144111203344240
65305054002010
7603654451200
oct131454766066
934028717536
1012024278070
1151104340a2
1223b6aa6306
1311981b524c
14820d3b770
154a59690d0
hex2ccb3ec36

12024278070 has 96 divisors (see below), whose sum is σ = 33710108256. Its totient is φ = 2736921600.

The previous prime is 12024278053. The next prime is 12024278081. The reversal of 12024278070 is 7087242021.

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, 337300 + ... + 371240.

It is an arithmetic number, because the mean of its divisors is an integer number (351146961).

Almost surely, 212024278070 is an apocalyptic number.

12024278070 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 12024278070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855054128).

12024278070 is an abundant number, since it is smaller than the sum of its proper divisors (21685830186).

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

12024278070 is a wasteful number, since it uses less digits than its factorization.

12024278070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34206 (or 34199 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 12024278070 in words is "twelve billion, twenty-four million, two hundred seventy-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 241 245 294 482 490 723 735 1205 1446 1470 1687 2410 3374 3615 5061 7230 8435 10122 11809 16870 23618 25305 33941 35427 50610 59045 67882 70854 101823 118090 169705 177135 203646 237587 339410 354270 475174 509115 712761 1018230 1187935 1425522 1663109 2375870 3326218 3563805 4989327 7127610 8179781 8315545 9978654 16359562 16631090 24539343 24946635 40898905 49078686 49893270 57258467 81797810 114516934 122696715 171775401 245393430 286292335 343550802 400809269 572584670 801618538 858877005 1202427807 1717754010 2004046345 2404855614 4008092690 6012139035 12024278070