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10556030560 = 255417920369
BaseRepresentation
bin10011101010011000…
…00011111001100000
31000020200000220122211
421311030003321200
5133104320434220
64503244211504
7522405531205
oct116514037140
930220026584
1010556030560
114527670aa9
122067239b94
13cc2c5c83a
14721d41cac
1541bae2b5a
hex275303e60

10556030560 has 96 divisors (see below), whose sum is σ = 25871529600. Its totient is φ = 4067082240.

The previous prime is 10556030557. The next prime is 10556030579. The reversal of 10556030560 is 6503065501.

It is a super-2 number, since 2×105560305602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 508056 + ... + 528424.

It is an arithmetic number, because the mean of its divisors is an integer number (269495100).

Almost surely, 210556030560 is an apocalyptic number.

10556030560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10556030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935764800).

10556030560 is an abundant number, since it is smaller than the sum of its proper divisors (15315499040).

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

10556030560 is a wasteful number, since it uses less digits than its factorization.

10556030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504 (or 20496 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 10556030560 in words is "ten billion, five hundred fifty-six million, thirty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 79 80 82 158 160 164 205 316 328 395 410 632 656 790 820 1264 1312 1580 1640 2528 3160 3239 3280 6320 6478 6560 12640 12956 16195 20369 25912 32390 40738 51824 64780 81476 101845 103648 129560 162952 203690 259120 325904 407380 518240 651808 814760 835129 1609151 1629520 1670258 3218302 3259040 3340516 4175645 6436604 6681032 8045755 8351290 12873208 13362064 16091510 16702580 25746416 26724128 32183020 33405160 51492832 64366040 65975191 66810320 128732080 131950382 133620640 257464160 263900764 329875955 527801528 659751910 1055603056 1319503820 2111206112 2639007640 5278015280 10556030560