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10027255056 = 2437139072531
BaseRepresentation
bin10010101011010101…
…11100010100010000
3221212211001100000220
421111222330110100
5131013434130211
64334554513040
7503325155520
oct112552742420
927784040026
1010027255056
114286140155
121b3a135780
13c3a540c20
146b1a19680
153da493806
hex255abc510

10027255056 has 160 divisors (see below), whose sum is σ = 31929289728. Its totient is φ = 2640591360.

The previous prime is 10027255039. The next prime is 10027255067. The reversal of 10027255056 is 65055272001.

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, 3960511 + ... + 3963041.

Almost surely, 210027255056 is an apocalyptic number.

10027255056 is a gapful number since it is divisible by the number (16) 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 10027255056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964644864).

10027255056 is an abundant number, since it is smaller than the sum of its proper divisors (21902034672).

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

10027255056 is a wasteful number, since it uses less digits than its factorization.

10027255056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 10027255056 in words is "ten billion, twenty-seven million, two hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 907 1092 1456 1814 2184 2531 2721 3628 4368 5062 5442 6349 7256 7593 10124 10884 11791 12698 14512 15186 17717 19047 20248 21768 23582 25396 30372 32903 35373 35434 38094 40496 43536 47164 50792 53151 60744 65806 70746 70868 76188 82537 94328 98709 101584 106302 121488 131612 141492 141736 152376 165074 188656 197418 212604 230321 247611 263224 282984 283472 304752 330148 394836 425208 460642 495222 526448 565968 660296 690963 789672 850416 921284 990444 1320592 1381926 1579344 1842568 1980888 2295617 2763852 3685136 3961776 4591234 5527704 6886851 9182468 11055408 13773702 16069319 18364936 27547404 29843021 32138638 36729872 48207957 55094808 59686042 64277276 89529063 96415914 110189616 119372084 128554552 179058126 192831828 208901147 238744168 257109104 358116252 385663656 417802294 477488336 626703441 716232504 771327312 835604588 1253406882 1432465008 1671209176 2506813764 3342418352 5013627528 10027255056