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20838871006360 = 23511298467192883
BaseRepresentation
bin1001011110011111011011…
…00000001111110010011000
32201210011202202020222000121
410233033231200033302120
510212411001434200420
6112153124543043024
74250362435644031
oct457175540176230
981704682228017
1020838871006360
116704796462180
1224068678a0474
13b82135450094
1452086cc65a88
1526210099d2aa
hex12f3ed80fc98

20838871006360 has 128 divisors (see below), whose sum is σ = 52920271468800. Its totient is φ = 7315566773760.

The previous prime is 20838871006351. The next prime is 20838871006363. The reversal of 20838871006360 is 6360017883802.

It is a super-2 number, since 2×208388710063602 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20838871006298 and 20838871006307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20838871006363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107942479 + ... + 108135361.

It is an arithmetic number, because the mean of its divisors is an integer number (413439620850).

Almost surely, 220838871006360 is an apocalyptic number.

20838871006360 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 20838871006360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460135734400).

20838871006360 is an abundant number, since it is smaller than the sum of its proper divisors (32081400462440).

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

20838871006360 is a wasteful number, since it uses less digits than its factorization.

20838871006360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201401 (or 201397 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 20838871006360 in words is "twenty trillion, eight hundred thirty-eight billion, eight hundred seventy-one million, six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 8467 12760 16934 33868 42335 67736 84670 93137 169340 186274 192883 245543 338680 372548 385766 465685 491086 745096 771532 931370 964415 982172 1227715 1543064 1862740 1928830 1964344 2121713 2455430 2700973 3725480 3857660 4243426 4910860 5401946 5593607 7715320 8486852 9821720 10608565 10803892 11187214 13504865 16973704 21217130 21607784 22374428 27009730 27968035 42434260 44748856 54019460 55936070 61529677 84868520 108038920 111872140 123059354 223744280 246118708 307648385 492237416 615296770 1230593540 1633140361 2461187080 3266280722 6532561444 8165701805 13065122888 16331403610 17964543971 32662807220 35929087942 47361070469 65325614440 71858175884 89822719855 94722140938 143716351768 179645439710 189444281876 236805352345 359290879420 378888563752 473610704690 520971775159 718581758840 947221409380 1041943550318 1894442818760 2083887100636 2604858875795 4167774201272 5209717751590 10419435503180 20838871006360