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16453545160 = 23513277114229
BaseRepresentation
bin11110101001011010…
…10010110011001000
31120110200020200210111
433110231102303020
5232144101421120
611320400324104
71121506553263
oct172455226310
946420220714
1016453545160
116a83663008
123232313634
131722a24750
14b212b3cda
1566473475a
hex3d4b52cc8

16453545160 has 64 divisors (see below), whose sum is σ = 40012484400. Its totient is φ = 6053170176.

The previous prime is 16453545127. The next prime is 16453545161. The reversal of 16453545160 is 6154535461.

It is a happy number.

16453545160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3998538756 + 12455006404 = 63234^2 + 111602^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (16453545161) 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 15 ways as a sum of consecutive naturals, for example, 86926 + ... + 201154.

Almost surely, 216453545160 is an apocalyptic number.

16453545160 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 16453545160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006242200).

16453545160 is an abundant number, since it is smaller than the sum of its proper divisors (23558939240).

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

16453545160 is a wasteful number, since it uses less digits than its factorization.

16453545160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114530 (or 114526 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 16453545160 in words is "sixteen billion, four hundred fifty-three million, five hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 277 520 554 1108 1385 2216 2770 3601 5540 7202 11080 14404 18005 28808 36010 72020 114229 144040 228458 456916 571145 913832 1142290 1484977 2284580 2969954 4569160 5939908 7424885 11879816 14849770 29699540 31641433 59399080 63282866 126565732 158207165 253131464 316414330 411338629 632828660 822677258 1265657320 1645354516 2056693145 3290709032 4113386290 8226772580 16453545160