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12652384416 = 2537148112713
BaseRepresentation
bin10111100100010010…
…00001000010100000
31012122202200201112020
423302021001002200
5201403002300131
65451252301440
7625352331060
oct136211010240
935582621466
1012652384416
115402a39751
122551311880
131268371bc9
1488051d3a0
154e0b89996
hex2f22410a0

12652384416 has 96 divisors (see below), whose sum is σ = 37985770368. Its totient is φ = 3612241920.

The previous prime is 12652384403. The next prime is 12652384417. The reversal of 12652384416 is 61448325621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×126523844162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12652384417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988876 + ... + 1001588.

It is an arithmetic number, because the mean of its divisors is an integer number (395685108).

Almost surely, 212652384416 is an apocalyptic number.

12652384416 is a gapful number since it is divisible by the number (16) 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 12652384416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992885184).

12652384416 is an abundant number, since it is smaller than the sum of its proper divisors (25333385952).

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

12652384416 is a wasteful number, since it uses less digits than its factorization.

12652384416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14214 (or 14206 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 12652384416 in words is "twelve billion, six hundred fifty-two million, three hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1481 2962 4443 5924 8886 10367 11848 12713 17772 20734 23696 25426 31101 35544 38139 41468 47392 50852 62202 71088 76278 82936 88991 101704 124404 142176 152556 165872 177982 203408 248808 266973 305112 331744 355964 406816 497616 533946 610224 711928 995232 1067892 1220448 1423856 2135784 2847712 4271568 8543136 18827953 37655906 56483859 75311812 112967718 131795671 150623624 225935436 263591342 301247248 395387013 451870872 527182684 602494496 790774026 903741744 1054365368 1581548052 1807483488 2108730736 3163096104 4217461472 6326192208 12652384416