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20483878747392 = 283219745129809
BaseRepresentation
bin1001010100001010001100…
…10100001111110100000000
32200112020110201200201210100
410222011012110033310000
510141101440424404032
6111322055231002400
74212624416351634
oct452050624176400
980466421621710
1020483878747392
1165881895a2875
122369ab5669400
13b57810503488
1450b5d4388dc4
15257c7552197c
hex12a14650fd00

20483878747392 has 108 divisors (see below), whose sum is σ = 59359870910340. Its totient is φ = 6793299738624.

The previous prime is 20483878747349. The next prime is 20483878747393. The reversal of 20483878747392 is 29374787838402.

It is a happy number.

20483878747392 is a `hidden beast` number, since 2 + 0 + 4 + 83 + 8 + 78 + 7 + 473 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18374459463936 + 2109419283456 = 4286544^2 + 1452384^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 20483878747392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20483878747393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22111017 + ... + 23018792.

It is an arithmetic number, because the mean of its divisors is an integer number (549628434355).

Almost surely, 220483878747392 is an apocalyptic number.

It is an amenable number.

20483878747392 is an abundant number, since it is smaller than the sum of its proper divisors (38875992162948).

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

20483878747392 is a wasteful number, since it uses less digits than its factorization.

20483878747392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45130028 (or 45130011 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 20483878747392 in words is "twenty trillion, four hundred eighty-three billion, eight hundred seventy-eight million, seven hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 197 256 288 384 394 576 591 768 788 1152 1182 1576 1773 2304 2364 3152 3546 4728 6304 7092 9456 12608 14184 18912 25216 28368 37824 50432 56736 75648 113472 151296 226944 453888 45129809 90259618 135389427 180519236 270778854 361038472 406168281 541557708 722076944 812336562 1083115416 1444153888 1624673124 2166230832 2888307776 3249346248 4332461664 5776615552 6498692496 8664923328 8890572373 11553231104 12997384992 17329846656 17781144746 25994769984 26671717119 34659693312 35562289492 51989539968 53343434238 71124578984 80015151357 103979079936 106686868476 142249157968 160030302714 213373736952 284498315936 320060605428 426747473904 568996631872 640121210856 853494947808 1137993263744 1280242421712 1706989895616 2275986527488 2560484843424 3413979791232 5120969686848 6827959582464 10241939373696 20483878747392