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30765510801 = 34194892
BaseRepresentation
bin11100101001110001…
…000111000010010001
32221102002201212210000
4130221301013002101
51001001432321201
622044455400213
72136253345524
oct345161070221
987362655700
1030765510801
1112058368693
125b67383069
132b93b6087c
1416bbd96bbb
15c00e3bd86
hex729c47091

30765510801 has 15 divisors (see below), whose sum is σ = 45960713931. Its totient is φ = 20509288128.

The previous prime is 30765510781. The next prime is 30765510851. The reversal of 30765510801 is 10801556703.

The square root of 30765510801 is 175401.

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

30765510801 is a `hidden beast` number, since 3 + 0 + 7 + 65 + 510 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 531256401 + 30234254400 = 23049^2 + 173880^2 .

It is not a de Polignac number, because 30765510801 - 213 = 30765502609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30765510851) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1568865 + ... + 1588353.

Almost surely, 230765510801 is an apocalyptic number.

30765510801 is the 175401-st square number.

30765510801 is the 87701-st centered octagonal number.

It is an amenable number.

30765510801 is a deficient number, since it is larger than the sum of its proper divisors (15195203130).

30765510801 is an frugal number, since it uses more digits than its factorization.

30765510801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38990 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 30765510801 by its sum of digits (36), we get a square (1107558388836 = 10524062).

The spelling of 30765510801 in words is "thirty billion, seven hundred sixty-five million, five hundred ten thousand, eight hundred one".

Divisors: 1 3 9 27 81 19489 58467 175401 526203 1578609 379821121 1139463363 3418390089 10255170267 30765510801