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12848219340 = 223511149130651
BaseRepresentation
bin10111111011101000…
…00100010011001100
31020011102012011112120
423331310010103030
5202303121004330
65522525532540
7633251030265
oct137564042314
936142164476
1012848219340
1154a35373a0
1225a6a14150
131299acb468
1489c53996c
15502e6ec10
hex2fdd044cc

12848219340 has 96 divisors (see below), whose sum is σ = 39509164800. Its totient is φ = 3093792000.

The previous prime is 12848219339. The next prime is 12848219347. The reversal of 12848219340 is 4391284821.

12848219340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12848219292 and 12848219301.

It is not an unprimeable number, because it can be changed into a prime (12848219347) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33015 + ... + 163665.

It is an arithmetic number, because the mean of its divisors is an integer number (411553800).

Almost surely, 212848219340 is an apocalyptic number.

12848219340 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 12848219340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19754582400).

12848219340 is an abundant number, since it is smaller than the sum of its proper divisors (26660945460).

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

12848219340 is a wasteful number, since it uses less digits than its factorization.

12848219340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130823 (or 130821 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 12848219340 in words is "twelve billion, eight hundred forty-eight million, two hundred nineteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 149 165 220 298 330 447 596 660 745 894 1490 1639 1788 2235 2980 3278 4470 4917 6556 8195 8940 9834 16390 19668 24585 32780 49170 98340 130651 261302 391953 522604 653255 783906 1306510 1437161 1567812 1959765 2613020 2874322 3919530 4311483 5748644 7185805 7839060 8622966 14371610 17245932 19466999 21557415 28743220 38933998 43114830 58400997 77867996 86229660 97334995 116801994 194669990 214136989 233603988 292004985 389339980 428273978 584009970 642410967 856547956 1070684945 1168019940 1284821934 2141369890 2569643868 3212054835 4282739780 6424109670 12848219340