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12832157884 = 22713236125127
BaseRepresentation
bin10111111001101101…
…10011000010111100
31020010021222011100211
423330312303002330
5202240013023014
65521153402204
7632664354010
oct137466630274
936107864324
1012832157884
115495467167
1225a1569364
131296696940
1489a358540
1550184acc4
hex2fcdb30bc

12832157884 has 96 divisors (see below), whose sum is σ = 29314123776. Its totient is φ = 4775950080.

The previous prime is 12832157881. The next prime is 12832157903. The reversal of 12832157884 is 48875123821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12832157881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498129 + ... + 523255.

It is an arithmetic number, because the mean of its divisors is an integer number (305355456).

Almost surely, 212832157884 is an apocalyptic number.

12832157884 is a gapful number since it is divisible by the number (14) 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 12832157884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657061888).

12832157884 is an abundant number, since it is smaller than the sum of its proper divisors (16481965892).

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

12832157884 is a wasteful number, since it uses less digits than its factorization.

12832157884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25235 (or 25233 counting only the distinct ones).

The product of its digits is 860160, while the sum is 49.

The spelling of 12832157884 in words is "twelve billion, eight hundred thirty-two million, one hundred fifty-seven thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 61 91 92 122 161 182 244 299 322 364 427 598 644 793 854 1196 1403 1586 1708 2093 2806 3172 4186 5551 5612 8372 9821 11102 18239 19642 22204 25127 36478 39284 50254 72956 100508 127673 175889 255346 326651 351778 510692 577921 653302 703556 1155842 1306604 1532747 2286557 2311684 3065494 4045447 4573114 6130988 7512973 8090894 9146228 10729229 15025946 16181788 19925711 21458458 30051892 35253181 39851422 42916916 52590811 70506362 79702844 105181622 139479977 141012724 210363244 246772267 278959954 458291353 493544534 557919908 916582706 987089068 1833165412 3208039471 6416078942 12832157884