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107542544071512 = 233113717929614071
BaseRepresentation
bin11000011100111100110011…
…001000110011101101011000
3112002202222002210122222102210
4120130330303020303231120
5103043434112240242022
61020420210202355120
731436456332005054
oct3034746310635530
9462688083588383
10107542544071512
11312a259a5555a0
121008a5704bbaa0
1348012aba61b44
141c7b13067cc64
15c67665b1ca0c
hex61cf33233b58

107542544071512 has 128 divisors (see below), whose sum is σ = 301242107865600. Its totient is φ = 31706055244800.

The previous prime is 107542544071511. The next prime is 107542544071597. The reversal of 107542544071512 is 215170445245701.

It is a super-2 number, since 2×1075425440715122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107542544071511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174823437 + ... + 175437507.

It is an arithmetic number, because the mean of its divisors is an integer number (2353453967700).

Almost surely, 2107542544071512 is an apocalyptic number.

107542544071512 is a gapful number since it is divisible by the number (12) 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 107542544071512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150621053932800).

107542544071512 is an abundant number, since it is smaller than the sum of its proper divisors (193699563794088).

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

107542544071512 is a wasteful number, since it uses less digits than its factorization.

107542544071512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632057 (or 632053 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 107542544071512 in words is "one hundred seven trillion, five hundred forty-two billion, five hundred forty-four million, seventy-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 17929 35858 53787 71716 107574 143432 197219 215148 394438 430296 591657 614071 663373 788876 1183314 1228142 1326746 1577752 1842213 1990119 2366628 2456284 2653492 3684426 3980238 4733256 4912568 5306984 6754781 7297103 7368852 7960476 13509562 14594206 14737704 15920952 20264343 21891309 22720627 27019124 29188412 40528686 43782618 45441254 54038248 58376824 68161881 81057372 87565236 90882508 136323762 162114744 175130472 181765016 249926897 272647524 499853794 545295048 749780691 999707588 1499561382 1999415176 2999122764 5998245528 11009678959 22019357918 33029036877 44038715836 66058073754 88077431672 121106468549 132116147508 242212937098 264232295016 363319405647 407358121483 484425874196 726638811294 814716242966 968851748392 1222074364449 1453277622588 1629432485932 2444148728898 2906555245176 3258864971864 4480939336313 4888297457796 8961878672626 9776594915592 13442818008939 17923757345252 26885636017878 35847514690504 53771272035756 107542544071512