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1848881989696 = 2672242812
BaseRepresentation
bin11010111001111001111…
…101000100100001000000
320112202021202122112021111
4122321321331010201000
5220243002242132241
63533210433333104
7250402006416400
oct32717175044100
96482252575244
101848881989696
11653119756a85
1225a3aaa07194
1310546c499671
14656b4832800
15331611aac81
hex1ae79f44840

1848881989696 has 63 divisors (see below), whose sum is σ = 4268051008077. Its totient is φ = 792345361920.

The previous prime is 1848881989651. The next prime is 1848881989697. The reversal of 1848881989696 is 6969891888481.

It is a happy number.

The square root of 1848881989696 is 1359736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1771731372096 + 77150617600 = 1331064^2 + 277760^2 .

It is a super-2 number, since 2×18488819896962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1848881989697) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 76133076 + ... + 76157356.

Almost surely, 21848881989696 is an apocalyptic number.

1848881989696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1848881989696 is the 1359736-th square number.

It is an amenable number.

1848881989696 is an abundant number, since it is smaller than the sum of its proper divisors (2419169018381).

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

1848881989696 is an frugal number, since it uses more digits than its factorization.

1848881989696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48588 (or 24290 counting only the distinct ones).

The product of its digits is 3439853568, while the sum is 85.

The spelling of 1848881989696 in words is "one trillion, eight hundred forty-eight billion, eight hundred eighty-one million, nine hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 24281 48562 97124 169967 194248 339934 388496 679868 776992 1189769 1359736 1553984 2379538 2719472 4759076 5438944 9518152 10877888 19036304 38072608 76145216 589566961 1179133922 2358267844 4126968727 4716535688 8253937454 9433071376 16507874908 18866142752 28888781089 33015749816 37732285504 57777562178 66031499632 115555124356 132062999264 231110248712 264125998528 462220497424 924440994848 1848881989696