Search a number
-
+
16669643352 = 23317295923879
BaseRepresentation
bin11111000011001011…
…01001001001011000
31121000201212121210020
433201211221021120
5233114412041402
611354040150440
71130042426205
oct174145511130
947021777706
1016669643352
11708464085a
123292768420
1317587271bb
14b41c86cac
156786bd8bc
hex3e1969258

16669643352 has 128 divisors (see below), whose sum is σ = 46422720000. Its totient is φ = 4963567616.

The previous prime is 16669643351. The next prime is 16669643371. The reversal of 16669643352 is 25334696661.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 16669643295 and 16669643304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16669643351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686149 + ... + 710027.

It is an arithmetic number, because the mean of its divisors is an integer number (362677500).

Almost surely, 216669643352 is an apocalyptic number.

16669643352 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 16669643352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211360000).

16669643352 is an abundant number, since it is smaller than the sum of its proper divisors (29753076648).

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

16669643352 is a wasteful number, since it uses less digits than its factorization.

16669643352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23993 (or 23989 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 51.

The spelling of 16669643352 in words is "sixteen billion, six hundred sixty-nine million, six hundred forty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 59 68 87 102 116 118 136 174 177 204 232 236 348 354 408 472 493 696 708 986 1003 1416 1479 1711 1972 2006 2958 3009 3422 3944 4012 5133 5916 6018 6844 8024 10266 11832 12036 13688 20532 23879 24072 29087 41064 47758 58174 71637 87261 95516 116348 143274 174522 191032 232696 286548 349044 405943 573096 692491 698088 811886 1217829 1384982 1408861 1623772 2077473 2435658 2769964 2817722 3247544 4154946 4226583 4871316 5539928 5635444 8309892 8453166 9742632 11270888 11772347 16619784 16906332 23544694 23950637 33812664 35317041 40856969 47089388 47901274 70634082 71851911 81713938 94178776 95802548 122570907 141268164 143703822 163427876 191605096 245141814 282536328 287407644 326855752 490283628 574815288 694568473 980567256 1389136946 2083705419 2778273892 4167410838 5556547784 8334821676 16669643352