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268336813760 = 2656115787559
BaseRepresentation
bin1111100111101000011…
…1101101011011000000
3221122121212001111202122
43321322013231123000
513344023211020020
6323134445103412
725246431166121
oct3717207553300
9848555044678
10268336813760
11a388a154894
1244009557b68
131c3c5009752
14cdb7c76048
156ea7a54125
hex3e7a1ed6c0

268336813760 has 112 divisors (see below), whose sum is σ = 653596173120. Its totient is φ = 104901488640.

The previous prime is 268336813741. The next prime is 268336813783. The reversal of 268336813760 is 67318633862.

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, 3020861 + ... + 3108419.

Almost surely, 2268336813760 is an apocalyptic number.

268336813760 is a gapful number since it is divisible by the number (20) 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 268336813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326798086560).

268336813760 is an abundant number, since it is smaller than the sum of its proper divisors (385259359360).

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

268336813760 is a wasteful number, since it uses less digits than its factorization.

268336813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87794 (or 87784 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The spelling of 268336813760 in words is "two hundred sixty-eight billion, three hundred thirty-six million, eight hundred thirteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 157 160 244 305 314 320 488 610 628 785 976 1220 1256 1570 1952 2440 2512 3140 3904 4880 5024 6280 9577 9760 10048 12560 19154 19520 25120 38308 47885 50240 76616 87559 95770 153232 175118 191540 306464 350236 383080 437795 612928 700472 766160 875590 1400944 1532320 1751180 2801888 3064640 3502360 5341099 5603776 7004720 10682198 13746763 14009440 21364396 26705495 27493526 28018880 42728792 53410990 54987052 68733815 85457584 106821980 109974104 137467630 170915168 213643960 219948208 274935260 341830336 427287920 439896416 549870520 838552543 854575840 879792832 1099741040 1677105086 1709151680 2199482080 3354210172 4192762715 4398964160 6708420344 8385525430 13416840688 16771050860 26833681376 33542101720 53667362752 67084203440 134168406880 268336813760