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115872895332544 = 26719710567124247
BaseRepresentation
bin11010010110001011000010…
…110000111111000011000000
3120012021100012022020012222011
4122112023002300333003000
5110141430142201120134
61050235135004422304
733256353236264320
oct3226130260770300
9505240168205864
10115872895332544
1133a14467684729
1210bb4b3a247994
134c869c8554b4c
1420883c6dc3280
15d5e1beb03264
hex6962c2c3f0c0

115872895332544 has 112 divisors (see below), whose sum is σ = 264144218545152. Its totient is φ = 49402658737152.

The previous prime is 115872895332497. The next prime is 115872895332569. The reversal of 115872895332544 is 445233598278511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 115872895332544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 932539029 + ... + 932663275.

Almost surely, 2115872895332544 is an apocalyptic number.

115872895332544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115872895332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132072109272576).

115872895332544 is an abundant number, since it is smaller than the sum of its proper divisors (148271323212608).

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

115872895332544 is a wasteful number, since it uses less digits than its factorization.

115872895332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135030 (or 135020 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 67.

The spelling of 115872895332544 in words is "one hundred fifteen trillion, eight hundred seventy-two billion, eight hundred ninety-five million, three hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 1379 1576 2758 3152 5516 6304 10567 11032 12608 21134 22064 42268 44128 73969 84536 88256 124247 147938 169072 248494 295876 338144 496988 591752 676288 869729 993976 1183504 1739458 1987952 2081699 2367008 3478916 3975904 4163398 4734016 6957832 7951808 8326796 13915664 14571893 16653592 24476659 27831328 29143786 33307184 48953318 55662656 58287572 66614368 97906636 116575144 133228736 171336613 195813272 233150288 342673226 391626544 466300576 685346452 783253088 932601152 1312918049 1370692904 1566506176 2625836098 2741385808 5251672196 5482771616 9190426343 10503344392 10965543232 18380852686 21006688784 36761705372 42013377568 73523410744 84026755136 147046821488 258644855653 294093642976 517289711306 588187285952 1034579422612 1810513989571 2069158845224 3621027979142 4138317690448 7242055958284 8276635380896 14484111916568 16553270761792 28968223833136 57936447666272 115872895332544