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6481213144 = 2372174720693
BaseRepresentation
bin1100000100100111…
…10111011011011000
3121201200112202000021
412002103313123120
5101233142310034
62551042520224
7316416255100
oct60223673330
917650482007
106481213144
1128265263aa
12130a666074
137c39a3983
14456ab4200
1527dede6b4
hex1824f76d8

6481213144 has 96 divisors (see below), whose sum is σ = 15287071680. Its totient is φ = 2558524416.

The previous prime is 6481213133. The next prime is 6481213169. The reversal of 6481213144 is 4413121846.

It is a super-2 number, since 2×64812131442 = 84012247635916729472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 302862 + ... + 323554.

It is an arithmetic number, because the mean of its divisors is an integer number (159240330).

Almost surely, 26481213144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481213144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643535840).

6481213144 is an abundant number, since it is smaller than the sum of its proper divisors (8805858536).

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

6481213144 is a wasteful number, since it uses less digits than its factorization.

6481213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20777 (or 20766 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 6481213144 is about 80505.9820386038. The cubic root of 6481213144 is about 1864.4558395371.

The spelling of 6481213144 in words is "six billion, four hundred eighty-one million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 47 49 56 68 94 98 119 136 188 196 238 329 376 392 476 658 799 833 952 1316 1598 1666 2303 2632 3196 3332 4606 5593 6392 6664 9212 11186 18424 20693 22372 39151 41386 44744 78302 82772 144851 156604 165544 289702 313208 351781 579404 703562 972571 1013957 1158808 1407124 1945142 2027914 2462467 2814248 3890284 4055828 4924934 6807997 7780568 8111656 9849868 13615994 16533707 17237269 19699736 27231988 33067414 34474538 47655979 54463976 66134828 68949076 95311958 115735949 132269656 137898152 190623916 231471898 381247832 462943796 810151643 925887592 1620303286 3240606572 6481213144