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127338241880575 = 52114161722738053
BaseRepresentation
bin11100111101000000111110…
…101011000111000111111111
3121200212102021000111212010001
4130331000332223013013333
5113142302204410134300
61130454214123455131
735551612225043155
oct3475007653070777
9550772230455101
10127338241880575
1137634932927730
12123470076874a7
135608c3861abab
1423632bd2c13d5
15eac55e9b616a
hex73d03eac71ff

127338241880575 has 96 divisors (see below), whose sum is σ = 176840930331072. Its totient is φ = 90153541632000.

The previous prime is 127338241880561. The next prime is 127338241880599. The reversal of 127338241880575 is 575088142833721.

It is not a de Polignac number, because 127338241880575 - 217 = 127338241749503 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15812518249 + ... + 15812526301.

It is an arithmetic number, because the mean of its divisors is an integer number (1842093024282).

Almost surely, 2127338241880575 is an apocalyptic number.

127338241880575 is a deficient number, since it is larger than the sum of its proper divisors (49502688450497).

127338241880575 is a wasteful number, since it uses less digits than its factorization.

127338241880575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 64.

The spelling of 127338241880575 in words is "one hundred twenty-seven trillion, three hundred thirty-eight billion, two hundred forty-one million, eight hundred eighty thousand, five hundred seventy-five".

Divisors: 1 5 11 25 41 55 205 275 451 617 1025 2255 2273 3085 6787 8053 11275 11365 15425 25003 25297 33935 40265 56825 88583 93193 125015 126485 169675 201325 278267 330173 442915 465965 625075 632425 1025123 1391335 1402441 1650865 2214575 2329825 3631903 4968701 5125615 6956675 7012205 8254325 15426851 18159515 18304469 24843505 25628075 35061025 54655711 57500081 77134255 90797575 91522345 124217525 201349159 203716741 273278555 287500405 385671275 457611725 632500891 750483229 1006745795 1018583705 1366392775 1437502025 2240884151 3162504455 3752416145 5033728975 5092918525 8255315519 11204420755 11293857373 15812522275 18762080725 41276577595 56022103775 56469286865 124232431103 206382887975 282346434325 463048152293 621162155515 2315240761465 3105810777575 5093529675223 11576203807325 25467648376115 127338241880575