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1981103868 = 2232241389587
BaseRepresentation
bin111011000010101…
…0011111011111100
312010001210111121100
41312011103323330
513024130310433
6524325533100
7100044051012
oct16605237374
95101714540
101981103868
11927310727
12473574190
1325758c513
1414b17a8b2
15b8dcdb13
hex76153efc

1981103868 has 72 divisors (see below), whose sum is σ = 5050085040. Its totient is φ = 654819840.

The previous prime is 1981103867. The next prime is 1981103879. The reversal of 1981103868 is 8683011891.

It is a super-2 number, since 2×19811038682 = 7849545071609122848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981103867) 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 23 ways as a sum of consecutive naturals, for example, 3374671 + ... + 3375257.

It is an arithmetic number, because the mean of its divisors is an integer number (70140070).

Almost surely, 21981103868 is an apocalyptic number.

1981103868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1981103868 is an abundant number, since it is smaller than the sum of its proper divisors (3068981172).

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

1981103868 is a wasteful number, since it uses less digits than its factorization.

1981103868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1981103868 is about 44509.5929884783. The cubic root of 1981103868 is about 1255.9405483577.

The spelling of 1981103868 in words is "one billion, nine hundred eighty-one million, one hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 241 389 482 587 723 778 964 1167 1174 1446 1556 1761 2169 2334 2348 2892 3501 3522 4338 4668 5283 7002 7044 8676 10566 14004 21132 93749 141467 187498 228343 281247 282934 374996 424401 456686 562494 565868 685029 843741 848802 913372 1124988 1273203 1370058 1687482 1697604 2055087 2546406 2740116 3374964 4110174 5092812 8220348 55030663 110061326 165091989 220122652 330183978 495275967 660367956 990551934 1981103868