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69134814225 = 345258432
BaseRepresentation
bin100000001100011000…
…0011000110000010001
320121110010100110010000
41000120300120300101
52113042003023400
651432103000213
74665140140101
oct1003060306021
9217403313100
1069134814225
1127357889204
1211495139069
13669a1202c9
1434bbb5d201
151be96ae600
hex1018c18c11

69134814225 has 45 divisors (see below), whose sum is σ = 128083495243. Its totient is φ = 36865590480.

The previous prime is 69134814191. The next prime is 69134814239. The reversal of 69134814225 is 52241843196.

The square root of 69134814225 is 262935.

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., 24888533121 + 44246281104 = 157761^2 + 210348^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 69134814225 - 27 = 69134814097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11829154 + ... + 11834996.

Almost surely, 269134814225 is an apocalyptic number.

69134814225 is the 262935-th square number.

69134814225 is the 131468-th centered octagonal number.

It is an amenable number.

69134814225 is a deficient number, since it is larger than the sum of its proper divisors (58948681018).

69134814225 is an frugal number, since it uses more digits than its factorization.

69134814225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 5851 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 69134814225 in words is "sixty-nine billion, one hundred thirty-four million, eight hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 5843 17529 29215 52587 87645 146075 157761 262935 438225 473283 788805 1314675 2366415 3944025 11832075 34140649 102421947 170703245 307265841 512109735 853516225 921797523 1536329205 2560548675 2765392569 4608987615 7681646025 13826962845 23044938075 69134814225