Search a number
-
+
16660375133274 = 2336723955734591
BaseRepresentation
bin1111001001110000101110…
…1111011101110001011010
32011222201100012002102002000
43302130023233131301122
54140430422013231044
655233400511021430
73336446425024305
oct362341357356132
964881305072060
1016660375133274
115343697478224
121a50a85b0a876
1393b0b3518942
1441851b7c5b3c
151dd59439bd69
hexf270bbddc5a

16660375133274 has 128 divisors (see below), whose sum is σ = 37801694822400. Its totient is φ = 5437743917760.

The previous prime is 16660375133257. The next prime is 16660375133323. The reversal of 16660375133274 is 47233157306661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16660375133274.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481621719 + ... + 481656309.

It is an arithmetic number, because the mean of its divisors is an integer number (295325740800).

Almost surely, 216660375133274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16660375133274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900847411200).

16660375133274 is an abundant number, since it is smaller than the sum of its proper divisors (21141319689126).

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

16660375133274 is a wasteful number, since it uses less digits than its factorization.

16660375133274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35465 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 16660375133274 in words is "sixteen trillion, six hundred sixty billion, three hundred seventy-five million, one hundred thirty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 239 402 478 557 603 717 1114 1206 1434 1671 1809 2151 3342 3618 4302 5013 6453 10026 12906 15039 16013 30078 32026 34591 37319 48039 69182 74638 96078 103773 111957 133123 144117 207546 223914 266246 288234 311319 335871 399369 432351 622638 671742 798738 864702 933957 1007613 1198107 1867914 2015226 2317597 2396214 3594321 4635194 6952791 7188642 8267249 8919241 13905582 16534498 17838482 19267187 20858373 24801747 26757723 38534374 41716746 49603494 53515446 57801561 62575119 74405241 80273169 115603122 125150238 148810482 160546338 173404683 223215723 240819507 346809366 446431446 481639014 520214049 553905683 1040428098 1107811366 1290901529 1661717049 2581803058 3323434098 3872704587 4604857693 4985151147 7745409174 9209715386 9970302294 11618113761 13814573079 14955453441 23236227522 27629146158 29910906882 34854341283 41443719237 69708682566 82887438474 124331157711 248662315422 308525465431 617050930862 925576396293 1851152792586 2776729188879 5553458377758 8330187566637 16660375133274