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13351251056 = 241113191971559
BaseRepresentation
bin11000110111100101…
…11110110001110000
31021110110201211022212
430123302332301300
5204320410013211
610044455351252
7651566522123
oct143362766160
937413654285
1013351251056
115731484590
122707382528
13134a0a5470
149092803ba
155321d638b
hex31bcbec70

13351251056 has 160 divisors (see below), whose sum is σ = 32172940800. Its totient is φ = 5276759040.

The previous prime is 13351251049. The next prime is 13351251077. The reversal of 13351251056 is 65015215331.

It is a super-2 number, since 2×133512510562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8563205 + ... + 8564763.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 213351251056 is an apocalyptic number.

13351251056 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 13351251056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

13351251056 is an abundant number, since it is smaller than the sum of its proper divisors (18821689744).

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

13351251056 is a wasteful number, since it uses less digits than its factorization.

13351251056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

Adding to 13351251056 its reverse (65015215331), we get a palindrome (78366466387).

The spelling of 13351251056 in words is "thirteen billion, three hundred fifty-one million, two hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 197 208 209 247 286 304 394 418 494 572 788 836 988 1144 1559 1576 1672 1976 2167 2288 2561 2717 3118 3152 3344 3743 3952 4334 5122 5434 6236 7486 8668 10244 10868 12472 14972 17149 17336 20267 20488 21736 24944 28171 29621 29944 34298 34672 40534 40976 41173 43472 48659 56342 59242 59888 68596 81068 82346 97318 112684 118484 137192 162136 164692 194636 222937 225368 236968 274384 307123 324272 325831 329384 385073 389272 445874 450736 473936 535249 614246 651662 658768 770146 778544 891748 1070498 1228492 1303324 1540292 1783496 2140996 2456984 2606648 3080584 3378353 3566992 3992599 4235803 4281992 4913968 5213296 5835337 6161168 6756706 7985198 8471606 8563984 11670674 13513412 15970396 16943212 23341348 27026824 31940792 33886424 43918589 46682696 54053648 63881584 64188707 67772848 75859381 87837178 93365392 128377414 151718762 175674356 256754828 303437524 351348712 513509656 606875048 702697424 834453191 1027019312 1213750096 1668906382 3337812764 6675625528 13351251056