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61678443312 = 243213915120407
BaseRepresentation
bin111001011100010100…
…100101101100110000
312220012110212120010100
4321130110211230300
52002304140141222
644200143032400
74312310055303
oct713424455460
9186173776110
1061678443312
11241809673a2
12bb53b9b700
135a7c3c9905
142db1766b3a
15190ec994ac
hexe5c525b30

61678443312 has 120 divisors (see below), whose sum is σ = 175015742720. Its totient is φ = 20275401600.

The previous prime is 61678443287. The next prime is 61678443371. The reversal of 61678443312 is 21334487616.

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, 3012213 + ... + 3032619.

Almost surely, 261678443312 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 61678443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87507871360).

61678443312 is an abundant number, since it is smaller than the sum of its proper divisors (113337299408).

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

61678443312 is a wasteful number, since it uses less digits than its factorization.

61678443312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20711 (or 20702 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 61678443312 in words is "sixty-one billion, six hundred seventy-eight million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 151 278 302 417 453 556 604 834 906 1112 1208 1251 1359 1668 1812 2224 2416 2502 2718 3336 3624 5004 5436 6672 7248 10008 10872 20016 20407 20989 21744 40814 41978 61221 62967 81628 83956 122442 125934 163256 167912 183663 188901 244884 251868 326512 335824 367326 377802 489768 503736 734652 755604 979536 1007472 1469304 1511208 2836573 2938608 3022416 3081457 5673146 6162914 8509719 9244371 11346292 12325828 17019438 18488742 22692584 24651656 25529157 27733113 34038876 36977484 45385168 49303312 51058314 55466226 68077752 73954968 102116628 110932452 136155504 147909936 204233256 221864904 408466512 428322523 443729808 856645046 1284967569 1713290092 2569935138 3426580184 3854902707 5139870276 6853160368 7709805414 10279740552 15419610828 20559481104 30839221656 61678443312