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27970890025 = 52132312832
BaseRepresentation
bin11010000011001100…
…011110100100101001
32200012100011102202211
4122003030132210221
5424241021440100
620503305125121
72010100433221
oct320314364451
980170142684
1027970890025
1110953924741
1255074897a1
132839b97c00
1414d4b73081
15ada9161ba
hex68331e929

27970890025 has 81 divisors (see below), whose sum is σ = 39280924197. Its totient is φ = 19748289600.

The previous prime is 27970890011. The next prime is 27970890029. The reversal of 27970890025 is 52009807972.

The square root of 27970890025 is 167245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7209538281 + 20761351744 = 84909^2 + 144088^2 .

It is not a de Polignac number, because 27970890025 - 27 = 27970889897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27970890029) 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, 336998634 + ... + 336998716.

Almost surely, 227970890025 is an apocalyptic number.

27970890025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27970890025 is the 167245-th square number.

27970890025 is the 83623-rd centered octagonal number.

It is an amenable number.

27970890025 is a deficient number, since it is larger than the sum of its proper divisors (11310034172).

27970890025 is an equidigital number, since it uses as much as digits as its factorization.

27970890025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 27970890025 by its sum of digits (49), we get a square (1370573611225 = 11707152).

The spelling of 27970890025 in words is "twenty-seven billion, nine hundred seventy million, eight hundred ninety thousand, twenty-five".

Divisors: 1 5 13 25 31 65 83 155 169 325 403 415 775 845 961 1079 2015 2075 2573 4225 4805 5239 5395 6889 10075 12493 12865 14027 24025 26195 26975 33449 34445 62465 64325 70135 79763 89557 130975 162409 167245 172225 213559 312325 350675 398815 434837 447785 812045 836225 1036919 1067795 1164241 1994075 2174185 2238925 2776267 4060225 5184595 5338975 5821205 6620329 10870925 13479947 13881335 25922975 29106025 33101645 36091471 67399735 69406675 86064277 165508225 180457355 336998675 430321385 902286775 1118835601 2151606925 5594178005 27970890025