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12170099508 = 22376117313729
BaseRepresentation
bin10110101010110010…
…01111101100110100
31011102011012010000020
423111121033230310
5144411021141013
65331343245140
7610405065450
oct132531175464
934364163006
1012170099508
115185781986
1224378a97b0
1311bc480218
14836459660
154b3670623
hex2d564fb34

12170099508 has 96 divisors (see below), whose sum is σ = 33178709760. Its totient is φ = 3400151040.

The previous prime is 12170099497. The next prime is 12170099509. The reversal of 12170099508 is 80599007121.

It is a super-2 number, since 2×121700995082 (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 a self number, because there is not a number n which added to its sum of digits gives 12170099508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12170099509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879588 + ... + 893316.

It is an arithmetic number, because the mean of its divisors is an integer number (345611560).

Almost surely, 212170099508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12170099508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16589354880).

12170099508 is an abundant number, since it is smaller than the sum of its proper divisors (21008610252).

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

12170099508 is a wasteful number, since it uses less digits than its factorization.

12170099508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977 (or 13975 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The spelling of 12170099508 in words is "twelve billion, one hundred seventy million, ninety-nine thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 173 183 244 346 366 427 519 692 732 854 1038 1211 1281 1708 2076 2422 2562 3633 4844 5124 7266 10553 13729 14532 21106 27458 31659 41187 42212 54916 63318 73871 82374 96103 126636 147742 164748 192206 221613 288309 295484 384412 443226 576618 837469 886452 1153236 1674938 2375117 2512407 3349876 4750234 5024814 5862283 7125351 9500468 10049628 11724566 14250702 16625819 17586849 23449132 28501404 33251638 35173698 49877457 66503276 70347396 99754914 144882137 199509828 289764274 434646411 579528548 869292822 1014174959 1738585644 2028349918 3042524877 4056699836 6085049754 12170099508