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16414031169 = 3211343137447
BaseRepresentation
bin11110100100101101…
…00011110101000001
31120100220220011210100
433102112203311001
5232103442444134
611312425353013
71120516651164
oct172226436501
946326804710
1016414031169
116a63324618
123221038769
13171779b1a3
14b19d49adb
1566102b999
hex3d25a3d41

16414031169 has 24 divisors (see below), whose sum is σ = 23975108352. Its totient is φ = 10820396160.

The previous prime is 16414031147. The next prime is 16414031173. The reversal of 16414031169 is 96113041461.

16414031169 is a `hidden beast` number, since 1 + 641 + 4 + 0 + 3 + 1 + 1 + 6 + 9 = 666.

16414031169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16414031169 - 29 = 16414030657 is a prime.

It is a super-2 number, since 2×164140311692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16414033169) 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 23 ways as a sum of consecutive naturals, for example, 419604 + ... + 457050.

It is an arithmetic number, because the mean of its divisors is an integer number (998962848).

Almost surely, 216414031169 is an apocalyptic number.

It is an amenable number.

16414031169 is a deficient number, since it is larger than the sum of its proper divisors (7561077183).

16414031169 is a wasteful number, since it uses less digits than its factorization.

16414031169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37997 (or 37994 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 16414031169 in words is "sixteen billion, four hundred fourteen million, thirty-one thousand, one hundred sixty-nine".

Divisors: 1 3 9 113 339 431 1017 1293 3879 37447 48703 112341 146109 337023 438327 4231511 12694533 16139657 38083599 48418971 145256913 1823781241 5471343723 16414031169