Search a number
-
+
14666216832 = 273310938933
BaseRepresentation
bin11011010100010110…
…01011010110000000
31101212010002000021000
431222023023112000
5220014022414312
610423151532000
71026304533441
oct155213132600
941763060230
1014666216832
116246773863
122a1382a000
1314c9650317
149d1b792c8
155ac880adc
hex36a2cb580

14666216832 has 128 divisors (see below), whose sum is σ = 43683948000. Its totient is φ = 4843763712.

The previous prime is 14666216827. The next prime is 14666216837. The reversal of 14666216832 is 23861266641.

It is an interprime number because it is at equal distance from previous prime (14666216827) and next prime (14666216837).

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14666216837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357238 + ... + 396170.

Almost surely, 214666216832 is an apocalyptic number.

14666216832 is a gapful number since it is divisible by the number (12) 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 14666216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841974000).

14666216832 is an abundant number, since it is smaller than the sum of its proper divisors (29017731168).

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

14666216832 is a wasteful number, since it uses less digits than its factorization.

14666216832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39065 (or 39047 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 14666216832 in words is "fourteen billion, six hundred sixty-six million, two hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 109 128 144 192 216 218 288 327 384 432 436 576 654 864 872 981 1152 1308 1728 1744 1962 2616 2943 3456 3488 3924 5232 5886 6976 7848 10464 11772 13952 15696 20928 23544 31392 38933 41856 47088 62784 77866 94176 116799 125568 155732 188352 233598 311464 350397 376704 467196 622928 700794 934392 1051191 1245856 1401588 1868784 2102382 2491712 2803176 3737568 4204764 4243697 4983424 5606352 7475136 8409528 8487394 11212704 12731091 14950272 16819056 16974788 22425408 25462182 33638112 33949576 38193273 44850816 50924364 67276224 67899152 76386546 101848728 114579819 134552448 135798304 152773092 203697456 229159638 271596608 305546184 407394912 458319276 543193216 611092368 814789824 916638552 1222184736 1629579648 1833277104 2444369472 3666554208 4888738944 7333108416 14666216832