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16604105364 = 223271152111497
BaseRepresentation
bin11110111011010111…
…01000101010010100
31120212011112221120100
433131223220222110
5233001122332424
611343335334100
71125315365310
oct173553505224
946764487510
1016604105364
117050648130
123274821330
131747c8b622
14b372a6b40
15672a74dc9
hex3ddae8a94

16604105364 has 144 divisors (see below), whose sum is σ = 52433087616. Its totient is φ = 4304102400.

The previous prime is 16604105363. The next prime is 16604105387. The reversal of 16604105364 is 46350140661.

It is a happy number.

16604105364 is a `hidden beast` number, since 1 + 6 + 604 + 10 + 5 + 36 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16604105363) 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 47 ways as a sum of consecutive naturals, for example, 1438464 + ... + 1449960.

It is an arithmetic number, because the mean of its divisors is an integer number (364118664).

Almost surely, 216604105364 is an apocalyptic number.

16604105364 is a gapful number since it is divisible by the number (14) 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 16604105364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216543808).

16604105364 is an abundant number, since it is smaller than the sum of its proper divisors (35828982252).

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

16604105364 is a wasteful number, since it uses less digits than its factorization.

16604105364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046 (or 12041 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 16604105364 in words is "sixteen billion, six hundred four million, one hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 521 693 924 1042 1386 1563 2084 2772 3126 3647 4689 5731 6252 7294 9378 10941 11462 11497 14588 17193 18756 21882 22924 22994 32823 34386 34491 40117 43764 45988 51579 65646 68772 68982 80234 80479 103158 103473 120351 126467 131292 137964 160468 160958 206316 206946 240702 241437 252934 321916 361053 379401 413892 481404 482874 505868 722106 724311 758802 885269 965748 1138203 1444212 1448622 1517604 1770538 2276406 2655807 2897244 3541076 4552812 5311614 5989937 7967421 10623228 11979874 15934842 17969811 23959748 31869684 35939622 41929559 53909433 65889307 71879244 83859118 107818866 125788677 131778614 167718236 197667921 215637732 251577354 263557228 377366031 395335842 461225149 503154708 593003763 754732062 790671684 922450298 1186007526 1383675447 1509464124 1844900596 2372015052 2767350894 4151026341 5534701788 8302052682 16604105364