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14641552116 = 2233436774657
BaseRepresentation
bin11011010001011010…
…00101101011110100
31101210101122220122000
431220231011223310
5214441214131431
610420511135300
71025555065602
oct155055055364
941711586560
1014641552116
1162338578a4
122a07514530
1314c44c5909
149cc798872
155aa60c9e6
hex368b45af4

14641552116 has 96 divisors (see below), whose sum is σ = 38908087680. Its totient is φ = 4758953472.

The previous prime is 14641552097. The next prime is 14641552117. The reversal of 14641552116 is 61125514641.

14641552116 is a `hidden beast` number, since 1 + 4 + 641 + 5 + 5 + 2 + 1 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14641552117) 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, 3141660 + ... + 3146316.

It is an arithmetic number, because the mean of its divisors is an integer number (405292580).

Almost surely, 214641552116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14641552116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454043840).

14641552116 is an abundant number, since it is smaller than the sum of its proper divisors (24266535564).

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

14641552116 is a wasteful number, since it uses less digits than its factorization.

14641552116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5382 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 14641552116 in words is "fourteen billion, six hundred forty-one million, five hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 677 774 1161 1354 1548 2031 2322 2708 4062 4644 4657 6093 8124 9314 12186 13971 18279 18628 24372 27942 29111 36558 41913 55884 58222 73116 83826 87333 116444 125739 167652 174666 200251 251478 261999 349332 400502 502956 523998 600753 785997 801004 1047996 1201506 1571994 1802259 2403012 3143988 3152789 3604518 5406777 6305578 7209036 9458367 10813554 12611156 18916734 21627108 28375101 37833468 56750202 85125303 113500404 135569927 170250606 271139854 340501212 406709781 542279708 813419562 1220129343 1626839124 2440258686 3660388029 4880517372 7320776058 14641552116