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16566631172 = 22713178233253
BaseRepresentation
bin11110110110111001…
…01011101100000100
31120202120001001122022
433123130223230010
5232412024144142
611335520222312
71124352020150
oct173334535404
946676031568
1016566631172
117031482223
12326416a998
13174029a650
14b32310060
1566e6216d2
hex3db72bb04

16566631172 has 96 divisors (see below), whose sum is σ = 37838449152. Its totient is φ = 6158923776.

The previous prime is 16566631129. The next prime is 16566631177. The reversal of 16566631172 is 27113666561.

It is not an unprimeable number, because it can be changed into a prime (16566631177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5091098 + ... + 5094350.

It is an arithmetic number, because the mean of its divisors is an integer number (394150512).

Almost surely, 216566631172 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 16566631172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18919224576).

16566631172 is an abundant number, since it is smaller than the sum of its proper divisors (21271817980).

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

16566631172 is a wasteful number, since it uses less digits than its factorization.

16566631172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4115 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The spelling of 16566631172 in words is "sixteen billion, five hundred sixty-six million, six hundred thirty-one thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 364 442 476 823 884 1547 1646 3094 3253 3292 5761 6188 6506 10699 11522 13012 13991 21398 22771 23044 27982 42289 42796 45542 55301 55964 74893 84578 91084 97937 110602 149786 169156 181883 195874 221204 296023 299572 363766 387107 391748 592046 718913 727532 774214 1184092 1273181 1437826 1548428 2546362 2677219 2875652 5032391 5092724 5354438 10064782 10708876 18740533 20129564 34803847 37481066 45512723 69607694 74962132 91025446 139215388 182050892 243626929 318589061 487253858 591665399 637178122 974507716 1183330798 1274356244 2366661596 4141657793 8283315586 16566631172