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30553292025 = 32524322712
BaseRepresentation
bin11100011101000111…
…100011110011111001
32220212022102001100100
4130131013203303321
51000033120321100
622011435030013
72131065461064
oct343507436371
986768361310
1030553292025
1111a5959a573
125b0829b309
132b5bbb8b29
14169bb138db
15bdc4bc400
hex71d1e3cf9

30553292025 has 81 divisors (see below), whose sum is σ = 56234099727. Its totient is φ = 15857402400.

The previous prime is 30553291987. The next prime is 30553292027. The reversal of 30553292025 is 52029235503.

The square root of 30553292025 is 174795.

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

30553292025 is a `hidden beast` number, since 30 + 5 + 532 + 92 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10999185129 + 19554106896 = 104877^2 + 139836^2 .

It is not a de Polignac number, because 30553292025 - 29 = 30553291513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30553292027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 112742640 + ... + 112742910.

Almost surely, 230553292025 is an apocalyptic number.

30553292025 is the 174795-th square number.

30553292025 is the 87398-th centered octagonal number.

It is an amenable number.

30553292025 is a deficient number, since it is larger than the sum of its proper divisors (25680807702).

30553292025 is an equidigital number, since it uses as much as digits as its factorization.

30553292025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Multiplying 30553292025 by its sum of digits (36), we get a square (1099918512900 = 10487702).

The spelling of 30553292025 in words is "thirty billion, five hundred fifty-three million, two hundred ninety-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 271 387 645 813 1075 1355 1849 1935 2439 3225 4065 5547 6775 9245 9675 11653 12195 16641 20325 27735 34959 46225 58265 60975 73441 83205 104877 138675 174795 220323 291325 367205 416025 501079 524385 660969 873975 1101615 1503237 1836025 2505395 2621925 3157963 3304845 4509711 5508075 7516185 9473889 12526975 15789815 16524225 22548555 28421667 37580925 47369445 78949075 112742775 135792409 142108335 236847225 407377227 678962045 710541675 1222131681 2036886135 3394810225 6110658405 10184430675 30553292025