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16772063049 = 32748812
BaseRepresentation
bin11111001111011000…
…10101111101001001
31121021212121002012100
433213230111331021
5233322122004144
611412135304013
71132425120000
oct174754257511
947255532170
1016772063049
117127435235
123300b1b009
131773a07181
14b51707c37
156826a0269
hex3e7b15f49

16772063049 has 45 divisors (see below), whose sum is σ = 28294466759. Its totient is φ = 9573157440.

The previous prime is 16772063047. The next prime is 16772063051. The reversal of 16772063049 is 94036027761.

The square root of 16772063049 is 129507.

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

16772063049 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 2 + 0 + 630 + 4 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (16772063047) and next prime (16772063051).

It can be written as a sum of positive squares in only one way, i.e., 2942303049 + 13829760000 = 54243^2 + 117600^2 .

It is not a de Polignac number, because 16772063049 - 21 = 16772063047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16772062995 and 16772063013.

It is not an unprimeable number, because it can be changed into a prime (16772063041) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19037089 + ... + 19037969.

Almost surely, 216772063049 is an apocalyptic number.

16772063049 is the 129507-th square number.

16772063049 is the 64754-th centered octagonal number.

It is an amenable number.

16772063049 is a deficient number, since it is larger than the sum of its proper divisors (11522403710).

16772063049 is an frugal number, since it uses more digits than its factorization.

16772063049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 16772063049 in words is "sixteen billion, seven hundred seventy-two million, sixty-three thousand, forty-nine".

Divisors: 1 3 7 9 21 49 63 147 343 441 881 1029 2401 2643 3087 6167 7203 7929 18501 21609 43169 55503 129507 302183 388521 776161 906549 2115281 2328483 2719647 5433127 6345843 6985449 16299381 19037529 38031889 48898143 114095667 266223223 342287001 798669669 1863562561 2396009007 5590687683 16772063049