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6931313844 = 22371350312619
BaseRepresentation
bin1100111010010001…
…10111010010110100
3122220001111020002120
412131020313102310
5103143404020334
63103442035540
7333523124040
oct63510672264
918801436076
106931313844
112a37600754
121415348bb0
13866007450
1449a79b020
152a879c949
hex19d2374b4

6931313844 has 96 divisors (see below), whose sum is σ = 19946465280. Its totient is φ = 1824259968.

The previous prime is 6931313843. The next prime is 6931313897. The reversal of 6931313844 is 4483131396.

It is a super-2 number, since 2×69313138442 = 96086223208052112672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6931313796 and 6931313805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6931313843) 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, 542967 + ... + 555585.

It is an arithmetic number, because the mean of its divisors is an integer number (207775680).

Almost surely, 26931313844 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 6931313844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9973232640).

6931313844 is an abundant number, since it is smaller than the sum of its proper divisors (13015151436).

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

6931313844 is a wasteful number, since it uses less digits than its factorization.

6931313844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13149 (or 13147 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 6931313844 is about 83254.5124542808. The cubic root of 6931313844 is about 1906.6538494229.

The spelling of 6931313844 in words is "six billion, nine hundred thirty-one million, three hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 503 546 1006 1092 1509 2012 3018 3521 6036 6539 7042 10563 12619 13078 14084 19617 21126 25238 26156 37857 39234 42252 45773 50476 75714 78468 88333 91546 137319 151428 164047 176666 183092 264999 274638 328094 353332 492141 529998 549276 656188 984282 1059996 1148329 1968564 2296658 3444987 4593316 6347357 6889974 12694714 13779948 19042071 25389428 38084142 44431499 76168284 82515641 88862998 133294497 165031282 177725996 247546923 266588994 330062564 495093846 533177988 577609487 990187692 1155218974 1732828461 2310437948 3465656922 6931313844