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107818999092 = 22327718967709
BaseRepresentation
bin110010001101010000…
…0110101110100110100
3101022022002110122120200
41210122200311310310
53231303130432332
6121310435200500
710534566241140
oct1443240656464
9338262418520
10107818999092
11417a9017922
1218a90446130
13a2236bb21c
14530b690220
152c108d017c
hex191a835d34

107818999092 has 144 divisors (see below), whose sum is σ = 319417862400. Its totient is φ = 30029852160.

The previous prime is 107818999073. The next prime is 107818999121. The reversal of 107818999092 is 290999818701.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1558534 + ... + 1626242.

It is an arithmetic number, because the mean of its divisors is an integer number (2218179600).

Almost surely, 2107818999092 is an apocalyptic number.

107818999092 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 107818999092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159708931200).

107818999092 is an abundant number, since it is smaller than the sum of its proper divisors (211598863308).

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

107818999092 is a wasteful number, since it uses less digits than its factorization.

107818999092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67886 (or 67881 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 63.

The spelling of 107818999092 in words is "one hundred seven billion, eight hundred eighteen million, nine hundred ninety-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 89 126 142 178 213 252 267 284 356 426 497 534 623 639 801 852 994 1068 1246 1278 1491 1602 1869 1988 2492 2556 2982 3204 3738 4473 5607 5964 6319 7476 8946 11214 12638 17892 18957 22428 25276 37914 44233 56871 67709 75828 88466 113742 132699 135418 176932 203127 227484 265398 270836 398097 406254 473963 530796 609381 796194 812508 947926 1218762 1421889 1592388 1895852 2437524 2843778 4265667 4807339 5687556 6026101 8531334 9614678 12052202 14422017 17062668 18078303 19229356 24104404 28844034 33651373 36156606 42182707 43266051 54234909 57688068 67302746 72313212 84365414 86532102 100954119 108469818 126548121 134605492 168730828 173064204 201908238 216939636 253096242 302862357 379644363 403816476 427853171 506192484 605724714 759288726 855706342 1211449428 1283559513 1518577452 1711412684 2567119026 2994972197 3850678539 5134238052 5989944394 7701357078 8984916591 11979888788 15402714156 17969833182 26954749773 35939666364 53909499546 107818999092