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12196192624 = 2471161162287
BaseRepresentation
bin10110101101111001…
…10010000101110000
31011110222021210000221
423112330302011300
5144434211130444
65334114422424
7611142632620
oct132674620560
934428253027
1012196192624
115199484040
122444591a14
1311c49b7b35
14839acc880
154b5ac6a84
hex2d6f32170

12196192624 has 80 divisors (see below), whose sum is σ = 29944083456. Its totient is φ = 4673836800.

The previous prime is 12196192597. The next prime is 12196192661. The reversal of 12196192624 is 42629169121.

12196192624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121961926242 (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 156295.

Almost surely, 212196192624 is an apocalyptic number.

12196192624 is a gapful number since it is divisible by the number (14) 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 12196192624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14972041728).

12196192624 is an abundant number, since it is smaller than the sum of its proper divisors (17747890832).

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

12196192624 is a wasteful number, since it uses less digits than its factorization.

12196192624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162374 (or 162368 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The spelling of 12196192624 in words is "twelve billion, one hundred ninety-six million, one hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 77 88 112 122 154 176 244 308 427 488 616 671 854 976 1232 1342 1708 2684 3416 4697 5368 6832 9394 10736 18788 37576 75152 162287 324574 649148 1136009 1298296 1785157 2272018 2596592 3570314 4544036 7140628 9088072 9899507 12496099 14281256 18176144 19799014 24992198 28562512 39598028 49984396 69296549 79196056 99968792 108894577 138593098 158392112 199937584 217789154 277186196 435578308 554372392 762262039 871156616 1108744784 1524524078 1742313232 3049048156 6098096312 12196192624