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28969742025 = 32527216212
BaseRepresentation
bin11010111110101110…
…110010111011001001
32202202221200101010100
4122332232302323021
5433312223221100
621150350040013
72043616513200
oct327656627311
982687611110
1028969742025
1111316733a64
125745aa9009
132968ac26b3
14158b6a2237
15b4846c400
hex6bebb2ec9

28969742025 has 81 divisors (see below), whose sum is σ = 60396800373. Its totient is φ = 13235140800.

The previous prime is 28969741943. The next prime is 28969742047. The reversal of 28969742025 is 52024796982.

The square root of 28969742025 is 170205.

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

28969742025 is a `hidden beast` number, since 28 + 96 + 97 + 420 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576144009 + 28393598016 = 24003^2 + 168504^2 .

It is not a de Polignac number, because 28969742025 - 27 = 28969741897 is a prime.

It is a super-2 number, since 2×289697420252 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17870715 + ... + 17872335.

Almost surely, 228969742025 is an apocalyptic number.

28969742025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

28969742025 is the 170205-th square number.

28969742025 is the 85103-rd centered octagonal number.

It is an amenable number.

28969742025 is an abundant number, since it is smaller than the sum of its proper divisors (31427058348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28969742025 is an equidigital number, since it uses as much as digits as its factorization.

28969742025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28969742025 in words is "twenty-eight billion, nine hundred sixty-nine million, seven hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 1621 2205 3675 4863 8105 11025 11347 14589 24315 34041 40525 56735 72945 79429 102123 121575 170205 238287 283675 364725 397145 510615 714861 851025 1191435 1985725 2553075 2627641 3574305 5957175 7882923 13138205 17871525 18393487 23648769 39414615 55180461 65691025 91967435 118243845 128754409 165541383 197073075 275902305 386263227 459837175 591219225 643772045 827706915 1158789681 1379511525 1931316135 3218860225 4138534575 5793948405 9656580675 28969742025