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9147896653401 = 3411213722232
BaseRepresentation
bin1000010100011110100100…
…1000010110011001011001
31012101112022122110021010000
42011013221020112121121
52144334343020402101
631242252525043213
71632625256403552
oct205075110263131
935345278407100
109147896653401
112a076681a2900
121038b100b6509
1351484874bc5c
14238a90d99329
1510ce577d2486
hex851e9216659

9147896653401 has 135 divisors (see below), whose sum is σ = 15199216843503. Its totient is φ = 5479031004480.

The previous prime is 9147896653373. The next prime is 9147896653403. The reversal of 9147896653401 is 1043566987419.

The square root of 9147896653401 is 3024549.

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

9147896653401 is a `hidden beast` number, since 9 + 1 + 4 + 7 + 8 + 96 + 6 + 534 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5373518067225 + 3774378586176 = 2318085^2 + 1942776^2 .

It is not a de Polignac number, because 9147896653401 - 211 = 9147896651353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9147896653403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 41021957976 + ... + 41021958198.

Almost surely, 29147896653401 is an apocalyptic number.

9147896653401 is the 3024549-th square number.

9147896653401 is the 1512275-th centered octagonal number.

It is an amenable number.

9147896653401 is a deficient number, since it is larger than the sum of its proper divisors (6051320190102).

9147896653401 is an equidigital number, since it uses as much as digits as its factorization.

9147896653401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 9147896653401 in words is "nine trillion, one hundred forty-seven billion, eight hundred ninety-six million, six hundred fifty-three thousand, four hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 137 223 297 363 411 669 891 1089 1233 1507 2007 2453 3267 3699 4521 6021 7359 9801 11097 13563 16577 18063 18769 22077 26983 30551 40689 49729 49731 56307 66231 80949 91653 122067 149187 149193 168921 198693 206459 242847 274959 336061 447561 447579 506763 547019 619377 728541 824877 1008183 1342683 1342737 1520289 1641057 1858131 2185623 2271049 2474631 3024549 3696671 4028049 4185487 4923171 5574393 6017209 6812873 6813147 9073647 11090013 12556461 14769513 16723179 18051627 20438619 20439441 27220941 33270039 37669383 44308539 46040357 54154881 61315857 61318323 74941603 99810117 113008149 138121071 162464643 183947571 183954969 224824809 299430351 339024447 414363213 487393929 506443927 551842713 674474427 824357633 933363601 1243089639 1519331781 2023423281 2473072899 2800090803 3729268917 4557995343 6070269843 7419218697 8400272409 10266999611 13673986029 22257656091 25200817227 30800998833 41021958087 66772968273 75602451681 92402996499 112936995721 277208989497 338810987163 831626968491 1016432961489 3049298884467 9147896653401