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16979218100 = 22521313060937
BaseRepresentation
bin11111101000000101…
…00100111010110100
31121211022101122111122
433310002210322310
5234233134434400
611444455323112
71140521654405
oct176402447264
947738348448
1016979218100
117223364959
12335a380498
1317a78c8120
14b7102d9ac
1569596e685
hex3f40a4eb4

16979218100 has 36 divisors (see below), whose sum is σ = 39679129644. Its totient is φ = 6269249280.

The previous prime is 16979218097. The next prime is 16979218127. The reversal of 16979218100 is 181297961.

16979218100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3674056996 + 13305161104 = 60614^2 + 115348^2 .

It is a super-2 number, since 2×169792181002 (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 11 ways as a sum of consecutive naturals, for example, 6529169 + ... + 6531768.

Almost surely, 216979218100 is an apocalyptic number.

16979218100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16979218100 is an abundant number, since it is smaller than the sum of its proper divisors (22699911544).

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

16979218100 is a wasteful number, since it uses less digits than its factorization.

16979218100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13060964 (or 13060957 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 44.

The spelling of 16979218100 in words is "sixteen billion, nine hundred seventy-nine million, two hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 13060937 26121874 52243748 65304685 130609370 169792181 261218740 326523425 339584362 653046850 679168724 848960905 1306093700 1697921810 3395843620 4244804525 8489609050 16979218100