Search a number
-
+
30790773729 = 36672972
BaseRepresentation
bin11100101011010001…
…011110101111100001
32221110212021101000000
4130223101132233201
51001024414224404
622051201050213
72140011154422
oct345321365741
987425241000
1030790773729
1112070653041
125b73926969
132b99167651
1416c1491649
15c0327c339
hex72b45ebe1

30790773729 has 63 divisors (see below), whose sum is σ = 47352475107. Its totient is φ = 20012344704.

The previous prime is 30790773719. The next prime is 30790773731. The reversal of 30790773729 is 92737709703.

The square root of 30790773729 is 175473.

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

It can be written as a sum of positive squares in only one way, i.e., 13826232225 + 16964541504 = 117585^2 + 130248^2 .

It is not a de Polignac number, because 30790773729 - 215 = 30790740961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30790773719) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 317430609 + ... + 317430705.

It is an arithmetic number, because the mean of its divisors is an integer number (751626589).

Almost surely, 230790773729 is an apocalyptic number.

30790773729 is the 175473-rd square number.

30790773729 is the 87737-th centered octagonal number.

It is an amenable number.

30790773729 is a deficient number, since it is larger than the sum of its proper divisors (16561701378).

30790773729 is an frugal number, since it uses more digits than its factorization.

30790773729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3500658, while the sum is 54.

The spelling of 30790773729 in words is "thirty billion, seven hundred ninety million, seven hundred seventy-three thousand, seven hundred twenty-nine".

Divisors: 1 3 9 27 67 81 97 201 243 291 603 729 873 1809 2619 4489 5427 6499 7857 9409 13467 16281 19497 23571 28227 40401 48843 58491 70713 84681 121203 175473 254043 363609 435433 526419 630403 762129 1090827 1306299 1579257 1891209 2286387 3272481 3918897 4737771 5673627 6859161 11756691 17020881 35270073 42237001 51062643 105810219 126711003 153187929 317430657 380133009 459563787 1140399027 3421197081 10263591243 30790773729