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10781438820672 = 2631320632093789
BaseRepresentation
bin1001110011100011111111…
…0101001100000101000000
31102011200210000020101110210
42130320333311030011000
52403120341314230142
634532531414554120
72161635050622012
oct234707765140500
942150700211423
1010781438820672
113487423162a93
121261622068940
136028ba84b840
14293b783081b2
1513a6b397b49c
hex9ce3fd4c140

10781438820672 has 112 divisors (see below), whose sum is σ = 30735095166720. Its totient is φ = 3315756177408.

The previous prime is 10781438820667. The next prime is 10781438820697. The reversal of 10781438820672 is 27602883418701.

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, 4102354 + ... + 6196142.

It is an arithmetic number, because the mean of its divisors is an integer number (274420492560).

Almost surely, 210781438820672 is an apocalyptic number.

10781438820672 is a gapful number since it is divisible by the number (12) 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 10781438820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367547583360).

10781438820672 is an abundant number, since it is smaller than the sum of its proper divisors (19953656346048).

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

10781438820672 is a wasteful number, since it uses less digits than its factorization.

10781438820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095880 (or 2095870 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 10781438820672 in words is "ten trillion, seven hundred eighty-one billion, four hundred thirty-eight million, eight hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2063 2496 4126 6189 8252 12378 16504 24756 26819 33008 49512 53638 66016 80457 99024 107276 132032 160914 198048 214552 321828 396096 429104 643656 858208 1287312 1716416 2093789 2574624 4187578 5149248 6281367 8375156 12562734 16750312 25125468 27219257 33500624 50250936 54438514 67001248 81657771 100501872 108877028 134002496 163315542 201003744 217754056 326631084 402007488 435508112 653262168 871016224 1306524336 1742032448 2613048672 4319486707 5226097344 8638973414 12958460121 17277946828 25916920242 34555893656 51833840484 56153327191 69111787312 103667680968 112306654382 138223574624 168459981573 207335361936 224613308764 276447149248 336919963146 414670723872 449226617528 673839926292 829341447744 898453235056 1347679852584 1796906470112 2695359705168 3593812940224 5390719410336 10781438820672