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128626236025 = 5272102472
BaseRepresentation
bin111011111001010111…
…0001001101001111001
3110022000011221210201121
41313302232021221321
54101411304023100
6135031242345241
712202322652400
oct1676256115171
9408004853647
10128626236025
114a60617aa01
1220b187bb221
13c18b3b0a41
146322c66637
15352c45251a
hex1df2b89a79

128626236025 has 27 divisors (see below), whose sum is σ = 185554891119. Its totient is φ = 88192240080.

The previous prime is 128626236019. The next prime is 128626236031. The reversal of 128626236025 is 520632626821.

The square root of 128626236025 is 358645.

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

It is an interprime number because it is at equal distance from previous prime (128626236019) and next prime (128626236031).

It can be written as a sum of positive squares in only one way, i.e., 46305444969 + 82320791056 = 215187^2 + 286916^2 .

It is not a de Polignac number, because 128626236025 - 25 = 128626235993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12547452 + ... + 12557698.

Almost surely, 2128626236025 is an apocalyptic number.

128626236025 is the 358645-th square number.

128626236025 is the 179323-rd centered octagonal number.

It is an amenable number.

128626236025 is a deficient number, since it is larger than the sum of its proper divisors (56928655094).

128626236025 is an frugal number, since it uses more digits than its factorization.

128626236025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20518 (or 10259 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 128626236025 in words is "one hundred twenty-eight billion, six hundred twenty-six million, two hundred thirty-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 10247 51235 71729 256175 358645 502103 1793225 2510515 12552575 105001009 525005045 735007063 2625025225 3675035315 5145049441 18375176575 25725247205 128626236025