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61106303344 = 2417237577619
BaseRepresentation
bin111000111010001110…
…000011000101110000
312211201121021211122011
4320322032003011300
52000121203201334
644023304052304
74262162002612
oct707216030560
9184647254564
1061106303344
1123a07a08149
12ba14464094
1359baa06c58
142d59792db2
1518c9931564
hexe3a383170

61106303344 has 120 divisors (see below), whose sum is σ = 129599460560. Its totient is φ = 27885109248.

The previous prime is 61106303339. The next prime is 61106303353. The reversal of 61106303344 is 44330360116.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98717467 + ... + 98718085.

Almost surely, 261106303344 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 61106303344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64799730280).

61106303344 is an abundant number, since it is smaller than the sum of its proper divisors (68493157216).

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

61106303344 is a wasteful number, since it uses less digits than its factorization.

61106303344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 61106303344 in words is "sixty-one billion, one hundred six million, three hundred three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 289 296 577 578 592 619 629 1154 1156 1238 1258 2308 2312 2476 2516 4616 4624 4952 5032 9232 9809 9904 10064 10523 10693 19618 21046 21349 21386 22903 39236 42092 42698 42772 45806 78472 84184 85396 85544 91612 156944 166753 168368 170792 171088 178891 183224 333506 341584 357163 357782 362933 366448 389351 667012 714326 715564 725866 778702 1334024 1428652 1431128 1451732 1557404 2668048 2857304 2862256 2903464 3114808 5714608 5806928 6071771 6169861 6229616 6618967 12143542 12339722 13215031 13237934 24287084 24679444 26430062 26475868 48574168 49358888 52860124 52951736 97148336 98717776 103220107 105720248 105903472 206440214 211440496 224655527 412880428 449311054 825760856 898622108 1651521712 1797244216 3594488432 3819143959 7638287918 15276575836 30553151672 61106303344