Search a number
-
+
16416014362821 = 3219331472364091
BaseRepresentation
bin1110111011100010011010…
…1101000110100011000101
32011010100121021012002121100
43232320212231012203011
54122424444134102241
654525225103410313
73313006065530103
oct356704655064305
964110537162540
1016416014362821
115259aa1163667
121a11649bb3999
1392103c86b188
1440a779d10c73
151d70416a59b6
hexeee26b468c5

16416014362821 has 24 divisors (see below), whose sum is σ = 23726269266336. Its totient is φ = 10937434304160.

The previous prime is 16416014362793. The next prime is 16416014362843. The reversal of 16416014362821 is 12826341061461.

16416014362821 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 0 + 14 + 3 + 628 + 2 + 1 = 666.

It is not a de Polignac number, because 16416014362821 - 210 = 16416014361797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416014362421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256103986 + ... + 256168076.

It is an arithmetic number, because the mean of its divisors is an integer number (988594552764).

Almost surely, 216416014362821 is an apocalyptic number.

It is an amenable number.

16416014362821 is a deficient number, since it is larger than the sum of its proper divisors (7310254903515).

16416014362821 is a wasteful number, since it uses less digits than its factorization.

16416014362821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80753 (or 80750 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16416014362821 in words is "sixteen trillion, four hundred sixteen billion, fourteen million, three hundred sixty-two thousand, eight hundred twenty-one".

Divisors: 1 3 9 1933 5799 14723 17397 44169 64091 132507 192273 576819 28459559 85378677 123887903 256136031 371663709 943611793 1114991127 2830835379 8492506137 1824001595869 5472004787607 16416014362821