Search a number
-
+
676450987344 = 243311369138567
BaseRepresentation
bin10011101011111111001…
…11101110110101010000
32101200001000212121101000
421311333213232311100
542040332423043334
61234431324142000
766605041343646
oct11657747566520
92350030777330
10676450987344
11240976a46970
12ab126097900
134ba34724b22
1424a51943196
15128e199c299
hex9d7f9eed50

676450987344 has 160 divisors (see below), whose sum is σ = 2118808673280. Its totient is φ = 204924297600.

The previous prime is 676450987307. The next prime is 676450987357. The reversal of 676450987344 is 443789054676.

It is a happy number.

676450987344 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 509 + 87 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17520349 + ... + 17558915.

It is an arithmetic number, because the mean of its divisors is an integer number (13242554208).

Almost surely, 2676450987344 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 676450987344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059404336640).

676450987344 is an abundant number, since it is smaller than the sum of its proper divisors (1442357685936).

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

676450987344 is a wasteful number, since it uses less digits than its factorization.

676450987344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42286 (or 42274 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 676450987344 in words is "six hundred seventy-six billion, four hundred fifty million, nine hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 3691 4752 7382 11073 14764 22146 29528 33219 38567 40601 44292 59056 66438 77134 81202 88584 99657 115701 121803 132876 154268 162404 177168 199314 231402 243606 265752 308536 324808 347103 365409 398628 424237 462804 487212 531504 617072 649616 694206 730818 797256 848474 925608 974424 1041309 1096227 1272711 1388412 1461636 1594512 1696948 1851216 1948848 2082618 2192454 2545422 2776824 2923272 3393896 3818133 4165236 4384908 5090844 5553648 5846544 6787792 7636266 8330472 8769816 10181688 11454399 15272532 16660944 17539632 20363376 22908798 30545064 45817596 61090128 91635192 142350797 183270384 284701594 427052391 569403188 854104782 1138806376 1281157173 1565858767 1708209564 2277612752 2562314346 3131717534 3416419128 3843471519 4697576301 5124628692 6263435068 6832838256 7686943038 9395152602 10249257384 12526870136 14092728903 15373886076 18790305204 20498514768 25053740272 28185457806 30747772152 37580610408 42278186709 56370915612 61495544304 75161220816 84556373418 112741831224 169112746836 225483662448 338225493672 676450987344