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30916540561 = 172103432
BaseRepresentation
bin11100110010110001…
…001111100010010001
32221210121220222122211
4130302301033202101
51001304113244221
622111452432121
72143066154524
oct346261174221
987717828584
1030916540561
1112125643575
125ba9a78641
132bb92303aa
1416d406cbbb
15c0e3216e1
hex732c4f891

30916540561 has 9 divisors (see below), whose sum is σ = 32845313851. Its totient is φ = 29095107232.

The previous prime is 30916540531. The next prime is 30916540597. The reversal of 30916540561 is 16504561903.

It is a happy number.

The square root of 30916540561 is 175831.

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., 24069971025 + 6846569536 = 155145^2 + 82744^2 .

It is not a de Polignac number, because 30916540561 - 27 = 30916540433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30916540531) 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 8 ways as a sum of consecutive naturals, for example, 2983956 + ... + 2994298.

Almost surely, 230916540561 is an apocalyptic number.

30916540561 is the 175831-st square number.

30916540561 is the 87916-th centered octagonal number.

It is an amenable number.

30916540561 is a deficient number, since it is larger than the sum of its proper divisors (1928773290).

30916540561 is an frugal number, since it uses more digits than its factorization.

30916540561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20720 (or 10360 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 30916540561 in words is "thirty billion, nine hundred sixteen million, five hundred forty thousand, five hundred sixty-one".

Divisors: 1 17 289 10343 175831 2989127 106977649 1818620033 30916540561