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16980696100 = 22528321572
BaseRepresentation
bin11111101000010000…
…01101110000100100
31121211102011201221101
433310020031300210
5234234024233400
611444551125444
71140540351424
oct176410156044
947742151841
1016980696100
117224184345
12335a973884
1317a7cc4a94
14b712d6484
15695b6256a
hex3f420dc24

16980696100 has 81 divisors (see below), whose sum is σ = 37536488787. Its totient is φ = 6667702080.

The previous prime is 16980696053. The next prime is 16980696107. The reversal of 16980696100 is 169608961.

The square root of 16980696100 is 130310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2053721124 + 14926974976 = 45318^2 + 122176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16980696107) 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, 108157222 + ... + 108157378.

Almost surely, 216980696100 is an apocalyptic number.

16980696100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16980696100 is the 130310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16980696100

16980696100 is an abundant number, since it is smaller than the sum of its proper divisors (20555792687).

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

16980696100 is an equidigital number, since it uses as much as digits as its factorization.

16980696100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 16980696100 in words is "sixteen billion, nine hundred eighty million, six hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 157 166 314 332 415 628 785 830 1570 1660 2075 3140 3925 4150 6889 7850 8300 13031 13778 15700 24649 26062 27556 34445 49298 52124 65155 68890 98596 123245 130310 137780 172225 246490 260620 325775 344450 492980 616225 651550 688900 1081573 1232450 1303100 2045867 2163146 2464900 4091734 4326292 5407865 8183468 10229335 10815730 20458670 21631460 27039325 40917340 51146675 54078650 102293350 108157300 169806961 204586700 339613922 679227844 849034805 1698069610 3396139220 4245174025 8490348050 16980696100