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12443431620 = 2235312673221
BaseRepresentation
bin10111001011010111…
…11011001011000100
31012010012111211011210
423211223323023010
5200441004302440
65414425531420
7620234265204
oct134553731304
935105454153
1012443431620
115305aa1394
1224b3343b70
131233ca18b9
1486088a404
154cc662a80
hex2e5afb2c4

12443431620 has 144 divisors (see below), whose sum is σ = 36550471104. Its totient is φ = 3162297600.

The previous prime is 12443431613. The next prime is 12443431657. The reversal of 12443431620 is 2613434421.

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

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, 3861610 + ... + 3864830.

It is an arithmetic number, because the mean of its divisors is an integer number (253822716).

Almost surely, 212443431620 is an apocalyptic number.

12443431620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443431620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18275235552).

12443431620 is an abundant number, since it is smaller than the sum of its proper divisors (24107039484).

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

12443431620 is a wasteful number, since it uses less digits than its factorization.

12443431620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 12443431620 in words is "twelve billion, four hundred forty-three million, four hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 134 155 186 201 268 310 335 372 402 465 620 670 804 930 961 1005 1340 1860 1922 2010 2077 2883 3221 3844 4020 4154 4805 5766 6231 6442 8308 9610 9663 10385 11532 12462 12884 14415 16105 19220 19326 20770 24924 28830 31155 32210 38652 41540 48315 57660 62310 64387 64420 96630 99851 124620 128774 193161 193260 199702 215807 257548 299553 321935 386322 399404 431614 499255 599106 643870 647421 772644 863228 965805 998510 1079035 1198212 1287740 1294842 1497765 1931610 1997020 2158070 2589684 2995530 3095381 3237105 3863220 4316140 5991060 6190762 6474210 6690017 9286143 12381524 12948420 13380034 15476905 18572286 20070051 26760068 30953810 33450085 37144572 40140102 46430715 61907620 66900170 80280204 92861430 100350255 133800340 185722860 200700510 207390527 401401020 414781054 622171581 829562108 1036952635 1244343162 2073905270 2488686324 3110857905 4147810540 6221715810 12443431620