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10681380478076 = 22711359409923567
BaseRepresentation
bin1001101101101111001111…
…1000111001110001111100
31101211010111202210221020012
42123123303320321301330
52400000431400244301
634414543005242352
72151463365011330
oct233336370716174
941733452727205
1010681380478076
113448a478a9270
1212461588633b8
135c6332c22669
1428cda561b7c0
15137ca9569ebb
hex9b6f3e39c7c

10681380478076 has 96 divisors (see below), whose sum is σ = 23376439296000. Its totient is φ = 4148796185280.

The previous prime is 10681380478007. The next prime is 10681380478151. The reversal of 10681380478076 is 67087408318601.

It is a super-2 number, since 2×106813804780762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 453222845 + ... + 453246411.

It is an arithmetic number, because the mean of its divisors is an integer number (243504576000).

Almost surely, 210681380478076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681380478076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11688219648000).

10681380478076 is an abundant number, since it is smaller than the sum of its proper divisors (12695058817924).

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

10681380478076 is a wasteful number, since it uses less digits than its factorization.

10681380478076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28047 (or 28045 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 10681380478076 in words is "ten trillion, six hundred eighty-one billion, three hundred eighty million, four hundred seventy-eight thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 359 718 1436 2513 3949 4099 5026 7898 8198 10052 15796 16396 23567 27643 28693 45089 47134 55286 57386 90178 94268 110572 114772 164969 180356 259237 315623 329938 518474 631246 659876 1036948 1262492 1471541 1814659 2943082 3629318 5886164 7258636 8460553 10300787 16186951 16921106 20601574 32373902 33842212 41203148 59223871 64747804 93066083 96601133 113308657 118447742 186132166 193202266 226617314 236895484 372264332 386404532 453234628 651462581 676207931 1062612463 1302925162 1352415862 2125224926 2605850324 2704831724 4250449852 7438287241 14876574482 29753148964 34679806747 69359613494 138719226988 242758647229 381477874217 485517294458 762955748434 971034588916 1525911496868 2670345119519 5340690239038 10681380478076