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148053026386048 = 277402744479227
BaseRepresentation
bin100001101010011101001000…
…000010111011000010000000
3201102012201201222010110021111
4201222131020002323002000
5123401200044223323143
61242514342114333104
743120323004121110
oct4152351002730200
9642181658113244
10148053026386048
11431a0a3272a123
1214731802b8a194
13647c457066b44
14287bb3a1b1040
15121b2eb84d99d
hex86a7480bb080

148053026386048 has 128 divisors (see below), whose sum is σ = 337281090785280. Its totient is φ = 63414402315264.

The previous prime is 148053026386037. The next prime is 148053026386049. The reversal of 148053026386048 is 840683620350841.

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

It is a junction number, because it is equal to n+sod(n) for n = 148053026385983 and 148053026386001.

It is not an unprimeable number, because it can be changed into a prime (148053026386049) 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 15 ways as a sum of consecutive naturals, for example, 16045625211 + ... + 16045634437.

It is an arithmetic number, because the mean of its divisors is an integer number (2635008521760).

Almost surely, 2148053026386048 is an apocalyptic number.

It is an amenable number.

148053026386048 is an abundant number, since it is smaller than the sum of its proper divisors (189228064399232).

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

148053026386048 is an equidigital number, since it uses as much as digits as its factorization.

148053026386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17722 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 58.

The spelling of 148053026386048 in words is "one hundred forty-eight trillion, fifty-three billion, twenty-six million, three hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 4027 4447 8054 8894 9227 16108 17788 18454 28189 31129 32216 35576 36908 56378 62258 64432 64589 71152 73816 112756 124516 128864 129178 142304 147632 225512 249032 257728 258356 284608 295264 451024 498064 515456 516712 569216 590528 902048 996128 1033424 1181056 1804096 1992256 2066848 3608192 3984512 4133696 8267392 17908069 35816138 37157129 41032469 71632276 74314258 82064938 125356483 143264552 148628516 164129876 250712966 260099903 286529104 287227283 297257032 328259752 501425932 520199806 573058208 574454566 594514064 656519504 1002851864 1040399612 1146116416 1148909132 1189028128 1313039008 2005703728 2080799224 2292232832 2297818264 2378056256 2626078016 4011407456 4161598448 4595636528 4756112512 5252156032 8022814912 8323196896 9191273056 16045629824 16646393792 18382546112 33292787584 36765092224 165237752663 330475505326 660951010652 1156664268641 1321902021304 2313328537282 2643804042608 4626657074564 5287608085216 9253314149128 10575216170432 18506628298256 21150432340864 37013256596512 74026513193024 148053026386048