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6855195452832 = 2532193223553051
BaseRepresentation
bin110001111000001100101…
…1111010110010110100000
3220021100110100122210221200
41203300121133112112200
51344303420013442312
622325122221321200
71305162063631566
oct143603137262640
926240410583850
106855195452832
1122032aa133871
129286bb106200
133a959955c41c
14199b168a3a36
15bd4bccd30dc
hex63c197d65a0

6855195452832 has 144 divisors (see below), whose sum is σ = 19683377296128. Its totient is φ = 2263027507200.

The previous prime is 6855195452827. The next prime is 6855195452837. The reversal of 6855195452832 is 2382545915586.

It is a happy number.

6855195452832 is a `hidden beast` number, since 6 + 8 + 5 + 5 + 1 + 9 + 545 + 2 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6855195452827) and next prime (6855195452837).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6855195452832.

It is not an unprimeable number, because it can be changed into a prime (6855195452837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12118707 + ... + 12671757.

It is an arithmetic number, because the mean of its divisors is an integer number (136690120112).

Almost surely, 26855195452832 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 6855195452832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841688648064).

6855195452832 is an abundant number, since it is smaller than the sum of its proper divisors (12828181843296).

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

6855195452832 is a wasteful number, since it uses less digits than its factorization.

6855195452832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553483 (or 553472 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 6855195452832 in words is "six trillion, eight hundred fifty-five billion, one hundred ninety-five million, four hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 223 288 386 446 579 669 772 892 1158 1338 1544 1737 1784 2007 2316 2676 3088 3474 3568 4014 4632 5352 6176 6948 7136 8028 9264 10704 13896 16056 18528 21408 27792 32112 43039 55584 64224 86078 129117 172156 258234 344312 387351 516468 553051 688624 774702 1032936 1106102 1377248 1549404 1659153 2065872 2212204 3098808 3318306 4131744 4424408 4977459 6197616 6636612 8848816 9954918 12395232 13273224 17697632 19909836 26546448 39819672 53092896 79639344 106738843 123330373 159278688 213477686 246660746 320216529 369991119 426955372 493321492 640433058 739982238 853910744 960649587 986642984 1109973357 1280866116 1479964476 1707821488 1921299174 1973285968 2219946714 2561732232 2959928952 3415642976 3842598348 3946571936 4439893428 5123464464 5919857904 7685196696 8879786856 10246928928 11839715808 15370393392 17759573712 23802761989 30740786784 35519147424 47605523978 71408285967 95211047956 142816571934 190422095912 214224857901 285633143868 380844191824 428449715802 571266287736 761688383648 856899431604 1142532575472 1713798863208 2285065150944 3427597726416 6855195452832