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47238755347728 = 24327450710398013
BaseRepresentation
bin10101011110110101000010…
…01110110110110100010000
320012020222111002012022202100
422233122201032312310100
522142424432332111403
6244245103513320400
712643613252221020
oct1257324116666420
9205228432168670
1047238755347728
1114062930977a0a
12536b22b706100
132048798468079
14b94521969a80
1556dbc5e6b2a3
hex2af6a13b6d10

47238755347728 has 120 divisors (see below), whose sum is σ = 151122572689088. Its totient is φ = 13493791316736.

The previous prime is 47238755347727. The next prime is 47238755347747. The reversal of 47238755347728 is 82774355783274.

47238755347728 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 8 + 7 + 553 + 47 + 7 + 28 = 666.

47238755347728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (47238755347727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655951 + ... + 9742062.

Almost surely, 247238755347728 is an apocalyptic number.

47238755347728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

47238755347728 is an abundant number, since it is smaller than the sum of its proper divisors (103883817341360).

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

47238755347728 is a wasteful number, since it uses less digits than its factorization.

47238755347728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402541 (or 10402532 counting only the distinct ones).

The product of its digits is 2212761600, while the sum is 72.

The spelling of 47238755347728 in words is "forty-seven trillion, two hundred thirty-eight billion, seven hundred fifty-five million, three hundred forty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4507 9014 13521 18028 27042 31549 36056 40563 54084 63098 72112 81126 94647 108168 126196 162252 189294 216336 252392 283941 324504 378588 504784 567882 649008 757176 1135764 1514352 2271528 4543056 10398013 20796026 31194039 41592052 62388078 72786091 83184104 93582117 124776156 145572182 166368208 187164234 218358273 249552312 291144364 374328468 436716546 499104624 582288728 655074819 748656936 873433092 1164577456 1310149638 1497313872 1746866184 2620299276 3493732368 5240598552 10481197104 46863844591 93727689182 140591533773 187455378364 281183067546 328046912137 374910756728 421774601319 562366135092 656093824274 749821513456 843549202638 984140736411 1124732270184 1312187648548 1687098405276 1968281472822 2249464540368 2624375297096 2952422209233 3374196810552 3936562945644 5248750594192 5904844418466 6748393621104 7873125891288 11809688836932 15746251782576 23619377673864 47238755347728