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12198318916 = 2278232
BaseRepresentation
bin10110101110001001…
…11001001101000100
31011111010021210202111
423113010321031010
5144440232201131
65334232150404
7611200000000
oct132704711504
934433253674
1012198318916
11519a6a6603
122445238404
1311c52808b4
1483a0c3700
154b5d96ab1
hex2d7139344

12198318916 has 81 divisors (see below), whose sum is σ = 26034801471. Its totient is φ = 5000553096.

The previous prime is 12198318911. The next prime is 12198318961. The reversal of 12198318916 is 61981389121.

The square root of 12198318916 is 110446.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (186624) is a multiple of the sum of its prime divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12198318916.

It is not an unprimeable number, because it can be changed into a prime (12198318911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 530361681 + ... + 530361703.

Almost surely, 212198318916 is an apocalyptic number.

12198318916 is the 110446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12198318916

12198318916 is an abundant number, since it is smaller than the sum of its proper divisors (13836482555).

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

12198318916 is an frugal number, since it uses more digits than its factorization.

12198318916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 32 counting only the distinct ones).

The product of its digits is 186624, while the sum is 49.

Multiplying 12198318916 by its sum of digits (49), we get a square (597717626884 = 7731222).

12198318916 divided by its sum of digits (49) gives a square (248945284 = 157782).

The spelling of 12198318916 in words is "twelve billion, one hundred ninety-eight million, three hundred eighteen thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 529 644 686 1058 1127 1372 2116 2254 2401 3703 4508 4802 7406 7889 9604 14812 15778 16807 25921 31556 33614 51842 55223 67228 103684 110446 117649 181447 220892 235298 362894 386561 470596 725788 773122 823543 1270129 1546244 1647086 2540258 2705927 3294172 5080516 5411854 5764801 8890903 10823708 11529602 17781806 18941489 23059204 35563612 37882978 62236321 75765956 124472642 132590423 248945284 265180846 435654247 530361692 871308494 1742616988 3049579729 6099159458 12198318916