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13847214168 = 2333317926177
BaseRepresentation
bin11001110010101101…
…11011100001011000
31022202000222100211000
430321112323201120
5211324341323133
610210013505000
71000101243534
oct147126734130
938660870730
1013847214168
115966433a57
1228254a2160
1313c8a75c68
149550a4bc4
15560a03413
hex3395bb858

13847214168 has 128 divisors (see below), whose sum is σ = 40209408000. Its totient is φ = 4410132480.

The previous prime is 13847214163. The next prime is 13847214197. The reversal of 13847214168 is 86141274831.

13847214168 is a `hidden beast` number, since 1 + 3 + 8 + 472 + 14 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13847214163) 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, 515896 + ... + 542072.

It is an arithmetic number, because the mean of its divisors is an integer number (314136000).

Almost surely, 213847214168 is an apocalyptic number.

13847214168 is a gapful number since it is divisible by the number (18) 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 13847214168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20104704000).

13847214168 is an abundant number, since it is smaller than the sum of its proper divisors (26362193832).

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

13847214168 is a wasteful number, since it uses less digits than its factorization.

13847214168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26302 (or 26292 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

Adding to 13847214168 its reverse (86141274831), we get a palindrome (99988488999).

The spelling of 13847214168 in words is "thirteen billion, eight hundred forty-seven million, two hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 79 93 108 124 158 186 216 237 248 279 316 372 474 558 632 711 744 837 948 1116 1422 1674 1896 2133 2232 2449 2844 3348 4266 4898 5688 6696 7347 8532 9796 14694 17064 19592 22041 26177 29388 44082 52354 58776 66123 78531 88164 104708 132246 157062 176328 209416 235593 264492 314124 471186 528984 628248 706779 811487 942372 1413558 1622974 1884744 2067983 2434461 2827116 3245948 4135966 4868922 5654232 6203949 6491896 7303383 8271932 9737844 12407898 14606766 16543864 18611847 19475688 21910149 24815796 29213532 37223694 43820298 49631592 55835541 58427064 64107473 74447388 87640596 111671082 128214946 148894776 175281192 192322419 223342164 256429892 384644838 446684328 512859784 576967257 769289676 1153934514 1538579352 1730901771 2307869028 3461803542 4615738056 6923607084 13847214168