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107884000848 = 24313421141057
BaseRepresentation
bin110010001111001100…
…0110011011001010000
3101022110121210002020010
41210132120303121100
53231421301011343
6121321120314520
710536315606501
oct1443630633120
9338417702203
10107884000848
1141831784688
1218aaa172a40
13a233cc99c0
145316170ba8
152c1646ed33
hex191e633650

107884000848 has 80 divisors (see below), whose sum is σ = 300217409856. Its totient is φ = 33186385920.

The previous prime is 107884000843. The next prime is 107884000897. The reversal of 107884000848 is 848000488701.

It is a happy number.

It is a Cunningham number, because it is equal to 3284572-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 107884000797 and 107884000806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107884000841) 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, 2607136 + ... + 2648192.

Almost surely, 2107884000848 is an apocalyptic number.

It is an amenable number.

107884000848 is an abundant number, since it is smaller than the sum of its proper divisors (192333409008).

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

107884000848 is a wasteful number, since it uses less digits than its factorization.

107884000848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45292 (or 45286 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The spelling of 107884000848 in words is "one hundred seven billion, eight hundred eighty-four million, eight hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4211 8422 12633 16844 25266 33688 41057 50532 54743 67376 82114 101064 109486 123171 164228 164229 202128 218972 246342 328456 328458 437944 492684 533741 656912 656916 875888 985368 1067482 1313832 1601223 1970736 2134964 2627664 3202446 4269928 6404892 8539856 12809784 25619568 172891027 345782054 518673081 691564108 1037346162 1383128216 2074692324 2247583351 2766256432 4149384648 4495166702 6742750053 8298769296 8990333404 13485500106 17980666808 26971000212 35961333616 53942000424 107884000848