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16690052340 = 223251323093089
BaseRepresentation
bin11111000101100110…
…11111110011110100
31121002011021111122200
433202303133303310
5233140123133330
611400045424500
71130411050503
oct174263376364
947064244580
1016690052340
117095110395
12329956b130
13175ca21820
14b4487a83a
1567a3a0a60
hex3e2cdfcf4

16690052340 has 144 divisors (see below), whose sum is σ = 54562107600. Its totient is φ = 4105211904.

The previous prime is 16690052297. The next prime is 16690052377. The reversal of 16690052340 is 4325009661.

It is a happy number.

16690052340 is a `hidden beast` number, since 1 + 6 + 6 + 90 + 0 + 523 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 450627984 + 16239424356 = 21228^2 + 127434^2 .

It is a super-2 number, since 2×166900523402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 16690052295 and 16690052304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5401516 + ... + 5404604.

It is an arithmetic number, because the mean of its divisors is an integer number (378903525).

Almost surely, 216690052340 is an apocalyptic number.

16690052340 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 16690052340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27281053800).

16690052340 is an abundant number, since it is smaller than the sum of its proper divisors (37872055260).

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

16690052340 is a wasteful number, since it uses less digits than its factorization.

16690052340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5426 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 16690052340 in words is "sixteen billion, six hundred ninety million, fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2309 2340 3089 4618 6178 6927 9236 9267 11545 12356 13854 15445 18534 20781 23090 27708 27801 30017 30890 34635 37068 40157 41562 46180 46335 55602 60034 61780 69270 80314 83124 90051 92670 103905 111204 120068 120471 138540 139005 150085 160628 180102 185340 200785 207810 240942 270153 278010 300170 360204 361413 401570 415620 450255 481884 540306 556020 600340 602355 722826 803140 900510 1080612 1204710 1350765 1445652 1801020 1807065 2409420 2701530 3614130 5403060 7132501 7228260 14265002 21397503 28530004 35662505 42795006 64192509 71325010 85590012 92722513 106987515 128385018 142650020 185445026 213975030 256770036 278167539 320962545 370890052 427950060 463612565 556335078 641925090 834502617 927225130 1112670156 1283850180 1390837695 1669005234 1854450260 2781675390 3338010468 4172513085 5563350780 8345026170 16690052340