Search a number
-
+
6968812896 = 2532315711367
BaseRepresentation
bin1100111110101111…
…11010010101100000
3122222200001101010100
412133113322111200
5103233004003041
63111301502400
7334456634523
oct63727722540
918880041110
106968812896
112a56793301
121425a11a00
13870a06836
144a175cbba
152abc086b6
hex19f5fa560

6968812896 has 144 divisors (see below), whose sum is σ = 20507655168. Its totient is φ = 2242425600.

The previous prime is 6968812891. The next prime is 6968812901. The reversal of 6968812896 is 6982188696.

It is an interprime number because it is at equal distance from previous prime (6968812891) and next prime (6968812901).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968812891) 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, 5097205 + ... + 5098571.

It is an arithmetic number, because the mean of its divisors is an integer number (142414272).

Almost surely, 26968812896 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 6968812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10253827584).

6968812896 is an abundant number, since it is smaller than the sum of its proper divisors (13538842272).

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

6968812896 is a wasteful number, since it uses less digits than its factorization.

6968812896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1974 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The square root of 6968812896 is about 83479.4160017905. The cubic root of 6968812896 is about 1910.0860588217.

The spelling of 6968812896 in words is "six billion, nine hundred sixty-eight million, eight hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 571 744 992 1116 1142 1367 1488 1713 2232 2284 2734 2976 3426 4101 4464 4568 5139 5468 6852 8202 8928 9136 10278 10936 12303 13704 16404 17701 18272 20556 21872 24606 27408 32808 35402 41112 42377 43744 49212 53103 54816 65616 70804 82224 84754 98424 106206 127131 131232 141608 159309 164448 169508 196848 212412 254262 283216 318618 339016 381393 393696 424824 508524 566432 637236 678032 762786 780557 849648 1017048 1274472 1356064 1525572 1561114 1699296 2034096 2341671 2548944 3051144 3122228 4068192 4683342 5097888 6102288 6244456 7025013 9366684 12204576 12488912 14050026 18733368 24197267 24977824 28100052 37466736 48394534 56200104 72591801 74933472 96789068 112400208 145183602 193578136 217775403 224800416 290367204 387156272 435550806 580734408 774312544 871101612 1161468816 1742203224 2322937632 3484406448 6968812896