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2897638040025 = 325228324012
BaseRepresentation
bin101010001010101000101…
…011111010000111011001
3101021000022101011221020100
4222022220223322013121
5334433330314240100
610055053451250013
7416230112644641
oct52125053720731
911230271157210
102897638040025
11a17977150143
123a96b9149909
13180327893211
14a03642b9521
1550592e99400
hex2a2a8afa1d9

2897638040025 has 81 divisors (see below), whose sum is σ = 5221416593757. Its totient is φ = 1536105888000.

The previous prime is 2897638039957. The next prime is 2897638040029. The reversal of 2897638040025 is 5200408367982.

The square root of 2897638040025 is 1702245.

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

2897638040025 is a `hidden beast` number, since 2 + 89 + 7 + 63 + 80 + 400 + 25 = 666.

2897638040025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 775127050569 + 2122510989456 = 880413^2 + 1456884^2 .

It is not a de Polignac number, because 2897638040025 - 211 = 2897638037977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2897638040029) 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, 7226029825 + ... + 7226030225.

Almost surely, 22897638040025 is an apocalyptic number.

2897638040025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2897638040025 is the 1702245-th square number.

2897638040025 is the 851123-rd centered octagonal number.

It is an amenable number.

2897638040025 is a deficient number, since it is larger than the sum of its proper divisors (2323778553732).

2897638040025 is an frugal number, since it uses more digits than its factorization.

2897638040025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2897638040025 in words is "two trillion, eight hundred ninety-seven billion, six hundred thirty-eight million, forty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 283 401 849 1203 1415 2005 2547 3609 4245 6015 7075 10025 12735 18045 21225 30075 63675 80089 90225 113483 160801 240267 340449 400445 482403 567415 720801 804005 1021347 1201335 1447209 1702245 2002225 2412015 2837075 3604005 4020025 5106735 6006675 7236045 8511225 12060075 18020025 25533675 32115689 36180225 45506683 96347067 136520049 160578445 227533415 289041201 409560147 481735335 682600245 802892225 1137667075 1445206005 2047800735 2408676675 3413001225 7226030025 10239003675 12878391289 38635173867 64391956445 115905521601 193175869335 321959782225 579527608005 965879346675 2897638040025