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13556357056 = 2611171935869
BaseRepresentation
bin11001010000000010…
…11001011111000000
31021222202200021212101
430220001121133000
5210230411411211
610121103440144
7656640063604
oct145001313700
937882607771
1013556357056
115827234780
122763bb6054
131380729868
149285d1504
155451ed5c1
hex3280597c0

13556357056 has 112 divisors (see below), whose sum is σ = 31239012960. Its totient is φ = 5768478720.

The previous prime is 13556357041. The next prime is 13556357069. The reversal of 13556357056 is 65075365531.

It is a junction number, because it is equal to n+sod(n) for n = 13556356997 and 13556357015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2306890 + ... + 2312758.

Almost surely, 213556357056 is an apocalyptic number.

13556357056 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 13556357056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619506480).

13556357056 is an abundant number, since it is smaller than the sum of its proper divisors (17682655904).

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

13556357056 is a wasteful number, since it uses less digits than its factorization.

13556357056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6102 (or 6092 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 46.

The spelling of 13556357056 in words is "thirteen billion, five hundred fifty-six million, three hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 193 272 352 374 386 544 704 748 772 1088 1496 1544 2123 2992 3088 3281 4246 5869 5984 6176 6562 8492 11738 11968 12352 13124 16984 23476 26248 33968 36091 46952 52496 64559 67936 72182 93904 99773 104992 129118 135872 144364 187808 199546 209984 258236 288728 375616 399092 516472 577456 798184 1032944 1097503 1132717 1154912 1596368 2065888 2195006 2265434 2309824 3192736 4131776 4390012 4530868 6385472 8780024 9061736 12459887 17560048 18123472 19256189 24919774 35120096 36246944 38512378 49839548 70240192 72493888 77024756 99679096 154049512 199358192 211818079 308099024 398716384 423636158 616198048 797432768 847272316 1232396096 1694544632 3389089264 6778178528 13556357056