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48775020212352 = 2737181100251209
BaseRepresentation
bin10110001011100010100011…
…10000001111000010000000
320101200211212000120110111010
423011301101300033002000
522343112220133243402
6251422533541120520
713162610320135620
oct1305612160170200
9211624760513433
1048775020212352
11145a54083908a5
125578b136b9140
13212a606b5aa45
14c08a1b6b8880
15598b3be45a6c
hex2c5c51c0f080

48775020212352 has 128 divisors (see below), whose sum is σ = 148885076995200. Its totient is φ = 13858726993920.

The previous prime is 48775020212339. The next prime is 48775020212473. The reversal of 48775020212352 is 25321202057784.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×487750202123522 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49639077 + ... + 50612132.

It is an arithmetic number, because the mean of its divisors is an integer number (1163164664025).

Almost surely, 248775020212352 is an apocalyptic number.

48775020212352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48775020212352 is an abundant number, since it is smaller than the sum of its proper divisors (100110056782848).

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

48775020212352 is a wasteful number, since it uses less digits than its factorization.

48775020212352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100251414 (or 100251402 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 48775020212352 in words is "forty-eight trillion, seven hundred seventy-five billion, twenty million, two hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 181 192 224 336 362 384 448 543 672 724 896 1086 1267 1344 1448 2172 2534 2688 2896 3801 4344 5068 5792 7602 8688 10136 11584 15204 17376 20272 23168 30408 34752 40544 60816 69504 81088 121632 162176 243264 486528 100251209 200502418 300753627 401004836 601507254 701758463 802009672 1203014508 1403516926 1604019344 2105275389 2406029016 2807033852 3208038688 4210550778 4812058032 5614067704 6416077376 8421101556 9624116064 11228135408 12832154752 16842203112 18145468829 19248232128 22456270816 33684406224 36290937658 38496464256 44912541632 54436406487 67368812448 72581875316 89825083264 108872812974 127018281803 134737624896 145163750632 217745625948 254036563606 269475249792 290327501264 381054845409 435491251896 508073127212 580655002528 762109690818 870982503792 1016146254424 1161310005056 1524219381636 1741965007584 2032292508848 2322620010112 3048438763272 3483930015168 4064585017696 6096877526544 6967860030336 8129170035392 12193755053088 16258340070784 24387510106176 48775020212352