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12087603906 = 2372833791307
BaseRepresentation
bin10110100000111101…
…00011001011000010
31011012101221220022120
423100132203023002
5144223411311111
65315235145110
7605353636500
oct132036431302
934171856276
1012087603906
1151431567a4
122414145196
1311a8357c61
14829503670
154ab2c7406
hex2d07a32c2

12087603906 has 96 divisors (see below), whose sum is σ = 28557930240. Its totient is φ = 3400385184.

The previous prime is 12087603893. The next prime is 12087603919. The reversal of 12087603906 is 60930678021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12087603893) and next prime (12087603919).

It is a super-2 number, since 2×120876039062 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9247705 + ... + 9249011.

It is an arithmetic number, because the mean of its divisors is an integer number (297478440).

Almost surely, 212087603906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12087603906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278965120).

12087603906 is an abundant number, since it is smaller than the sum of its proper divisors (16470326334).

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

12087603906 is a wasteful number, since it uses less digits than its factorization.

12087603906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 12087603906 in words is "twelve billion, eighty-seven million, six hundred three thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 379 498 581 758 1137 1162 1307 1743 2274 2614 2653 3486 3921 4067 5306 7842 7959 8134 9149 12201 15918 18298 18571 24402 27447 31457 37142 54894 55713 62914 64043 94371 108481 111426 128086 188742 192129 216962 220199 325443 384258 440398 495353 650886 660597 759367 990706 1321194 1486059 1518734 1541393 2278101 2972118 3082786 3467471 4556202 4624179 5315569 6934942 9248358 10402413 10631138 15946707 20804826 24272297 31893414 41114299 48544594 72816891 82228598 123342897 145633782 246685794 287800093 575600186 863400279 1726800558 2014600651 4029201302 6043801953 12087603906