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2696935795225 = 527467032
BaseRepresentation
bin100111001111101101111…
…001100110101000011001
3100112211021002111111222021
4213033231321212220121
5323141311030421400
65422542153454441
7365563404010000
oct47175571465031
910484232444867
102696935795225
1194a844a47041
12376826411421
13167420c29c99
1494764c37c37
154a24805c71a
hex273ede66a19

2696935795225 has 45 divisors (see below), whose sum is σ = 3901917092703. Its totient is φ = 1849051506960.

The previous prime is 2696935795223. The next prime is 2696935795259. The reversal of 2696935795225 is 5225975396962.

The square root of 2696935795225 is 1642235.

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., 970896886281 + 1726038908944 = 985341^2 + 1313788^2 .

It is not a de Polignac number, because 2696935795225 - 21 = 2696935795223 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2696935795223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 402344224 + ... + 402350926.

Almost surely, 22696935795225 is an apocalyptic number.

2696935795225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2696935795225 is the 1642235-th square number.

2696935795225 is the 821118-th centered octagonal number.

It is an amenable number.

2696935795225 is a deficient number, since it is larger than the sum of its proper divisors (1204981297478).

2696935795225 is an frugal number, since it uses more digits than its factorization.

2696935795225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13444 (or 6715 counting only the distinct ones).

The product of its digits is 551124000, while the sum is 70.

The spelling of 2696935795225 in words is "two trillion, six hundred ninety-six billion, nine hundred thirty-five million, seven hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 1225 1715 2401 6703 8575 12005 33515 46921 60025 167575 234605 328447 1173025 1642235 2299129 8211175 11495645 16093903 44930209 57478225 80469515 224651045 314511463 402347575 1123255225 1572557315 2201580241 7862786575 11007901205 15411061687 55039506025 77055308435 107877431809 385276542175 539387159045 2696935795225