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184830346561 = 72614172
BaseRepresentation
bin1010110000100010111…
…1110100010101000001
3122200002010220110001011
42230020233310111001
511012013032042221
6220524311440521
716232161011100
oct2541057642501
9580063813034
10184830346561
1171427a04033
122b9a3386141
13145775b2793
148d35538037
154c1b7ec1e1
hex2b08bf4541

184830346561 has 9 divisors (see below), whose sum is σ = 215010230499. Its totient is φ = 158423431824.

The previous prime is 184830346543. The next prime is 184830346567. The reversal of 184830346561 is 165643038481.

The square root of 184830346561 is 429919.

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., 58339156225 + 126491190336 = 241535^2 + 355656^2 .

It is not a de Polignac number, because 184830346561 - 219 = 184829822273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (184830346567) 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, 2978725 + ... + 3040141.

It is an arithmetic number, because the mean of its divisors is an integer number (23890025611).

Almost surely, 2184830346561 is an apocalyptic number.

184830346561 is the 429919-th square number.

184830346561 is the 214960-th centered octagonal number.

It is an amenable number.

184830346561 is a deficient number, since it is larger than the sum of its proper divisors (30179883938).

184830346561 is an frugal number, since it uses more digits than its factorization.

184830346561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122848 (or 61424 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 184830346561 by its sum of digits (49), we get a square (9056686981489 = 30094332).

184830346561 divided by its sum of digits (49) gives a square (3772047889 = 614172).

The spelling of 184830346561 in words is "one hundred eighty-four billion, eight hundred thirty million, three hundred forty-six thousand, five hundred sixty-one".

Divisors: 1 7 49 61417 429919 3009433 3772047889 26404335223 184830346561