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12123523616 = 2517175312713
BaseRepresentation
bin10110100101001111…
…00100101000100000
31011021220112210220012
423102213210220200
5144312110223431
65323001104052
7606301151621
oct132247445040
934256483805
1012123523616
11516145a806
122424188028
1311b2923519
148301b3a48
154ae52022b
hex2d29e4a20

12123523616 has 48 divisors (see below), whose sum is σ = 25288603704. Its totient is φ = 5701484544.

The previous prime is 12123523549. The next prime is 12123523627. The reversal of 12123523616 is 61632532121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11223283600 + 900240016 = 105940^2 + 30004^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947276 + ... + 959988.

Almost surely, 212123523616 is an apocalyptic number.

12123523616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12123523616 is an abundant number, since it is smaller than the sum of its proper divisors (13165080088).

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

12123523616 is a wasteful number, since it uses less digits than its factorization.

12123523616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14493 (or 14485 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The spelling of 12123523616 in words is "twelve billion, one hundred twenty-three million, five hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1753 3506 7012 12713 14024 25426 28048 29801 50852 56096 59602 101704 119204 203408 216121 238408 406816 432242 476816 864484 953632 1728968 3457936 6915872 22285889 44571778 89143556 178287112 356574224 378860113 713148448 757720226 1515440452 3030880904 6061761808 12123523616