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16578365049 = 3216722572
BaseRepresentation
bin11110111000010010…
…11100011001111001
31120210101010012111100
433130021130121321
5232423030140144
611341015522013
71124553530541
oct173411343171
946711105440
1016578365049
117038067044
123268089309
13174284847c
14b33ac6321
1567068d269
hex3dc25c679

16578365049 has 27 divisors (see below), whose sum is σ = 24184881487. Its totient is φ = 10943314944.

The previous prime is 16578365009. The next prime is 16578365113. The reversal of 16578365049 is 94056387561.

The square root of 16578365049 is 128757.

It is a perfect power (a square), and thus also a powerful number.

16578365049 is a `hidden beast` number, since 1 + 6 + 57 + 83 + 6 + 504 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16321340025 + 257025024 = 127755^2 + 16032^2 .

It is not a de Polignac number, because 16578365049 - 27 = 16578364921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16578364986 and 16578365004.

It is not an unprimeable number, because it can be changed into a prime (16578365009) 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 26 ways as a sum of consecutive naturals, for example, 64507129 + ... + 64507385.

Almost surely, 216578365049 is an apocalyptic number.

16578365049 is the 128757-th square number.

16578365049 is the 64379-th centered octagonal number.

It is an amenable number.

16578365049 is a deficient number, since it is larger than the sum of its proper divisors (7606516438).

16578365049 is an frugal number, since it uses more digits than its factorization.

16578365049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 16578365049 in words is "sixteen billion, five hundred seventy-eight million, three hundred sixty-five thousand, forty-nine".

Divisors: 1 3 9 167 257 501 771 1503 2313 27889 42919 66049 83667 128757 198147 251001 386271 594441 7167473 11030183 21502419 33090549 64507257 99271647 1842040561 5526121683 16578365049