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16122690320 = 2451137948341
BaseRepresentation
bin11110000001111110…
…01011101100010000
31112121121200112021112
433000333023230100
5231004402042240
611223501112452
71110351415022
oct170077135420
945547615245
1016122690320
116923924960
12315b558728
13169c312859
14acd38c012
1564567d665
hex3c0fcbb10

16122690320 has 80 divisors (see below), whose sum is σ = 41001750720. Its totient is φ = 5847206400.

The previous prime is 16122690317. The next prime is 16122690329. The reversal of 16122690320 is 2309622161.

It is a happy number.

16122690320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×161226903202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16122690329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 309350 + ... + 357690.

It is an arithmetic number, because the mean of its divisors is an integer number (512521884).

Almost surely, 216122690320 is an apocalyptic number.

16122690320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16122690320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500875360).

16122690320 is an abundant number, since it is smaller than the sum of its proper divisors (24879060400).

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

16122690320 is a wasteful number, since it uses less digits than its factorization.

16122690320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48744 (or 48738 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 16122690320 in words is "sixteen billion, one hundred twenty-two million, six hundred ninety thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 379 440 758 880 1516 1895 3032 3790 4169 6064 7580 8338 15160 16676 20845 30320 33352 41690 48341 66704 83380 96682 166760 193364 241705 333520 386728 483410 531751 773456 966820 1063502 1933640 2127004 2658755 3867280 4254008 5317510 8508016 10635020 18321239 21270040 36642478 42540080 73284956 91606195 146569912 183212390 201533629 293139824 366424780 403067258 732849560 806134516 1007668145 1465699120 1612269032 2015336290 3224538064 4030672580 8061345160 16122690320