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13876163220 = 22351934934877
BaseRepresentation
bin11001110110001010…
…10111001010010100
31022211001110010110010
430323011113022110
5211404244210340
610212530200220
71000602304233
oct147305271224
938731403403
1013876163220
115980806897
122833123070
131401a7078a
14958c7cb1a
15563320b80
hex33b157294

13876163220 has 96 divisors (see below), whose sum is σ = 41016528000. Its totient is φ = 3495412224.

The previous prime is 13876163183. The next prime is 13876163227. The reversal of 13876163220 is 2236167831.

13876163220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13876163227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380422 + ... + 415298.

It is an arithmetic number, because the mean of its divisors is an integer number (427255500).

Almost surely, 213876163220 is an apocalyptic number.

13876163220 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 13876163220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508264000).

13876163220 is an abundant number, since it is smaller than the sum of its proper divisors (27140364780).

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

13876163220 is a wasteful number, since it uses less digits than its factorization.

13876163220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35257 (or 35255 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13876163220 in words is "thirteen billion, eight hundred seventy-six million, one hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 349 380 570 698 1047 1140 1396 1745 2094 3490 4188 5235 6631 6980 10470 13262 19893 20940 26524 33155 34877 39786 66310 69754 79572 99465 104631 132620 139508 174385 198930 209262 348770 397860 418524 523155 662663 697540 1046310 1325326 1987989 2092620 2650652 3313315 3975978 6626630 7951956 9939945 12172073 13253260 19879890 24344146 36516219 39759780 48688292 60860365 73032438 121720730 146064876 182581095 231269387 243441460 365162190 462538774 693808161 730324380 925077548 1156346935 1387616322 2312693870 2775232644 3469040805 4625387740 6938081610 13876163220