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2265946153636 = 2211253212912
BaseRepresentation
bin100000111110010100111…
…010100110001010100100
322000121210200110020120011
4200332110322212022210
5244111124203404021
64452543350020004
7322465154340454
oct40762472461244
98017720406504
102265946153636
117a3a89592300
123071a4947604
131358a71a5419
147b95b017d64
153de20c02de1
hex20f94ea62a4

2265946153636 has 81 divisors (see below), whose sum is σ = 4445903636769. Its totient is φ = 1009759264800.

The previous prime is 2265946153633. The next prime is 2265946153657. The reversal of 2265946153636 is 6363516495622.

The square root of 2265946153636 is 1505306.

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., 1633514048100 + 632432105536 = 1278090^2 + 795256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2265946153631) 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 26 ways as a sum of consecutive naturals, for example, 1755186151 + ... + 1755187441.

Almost surely, 22265946153636 is an apocalyptic number.

2265946153636 is the 1505306-th square number.

It is an amenable number.

2265946153636 is a deficient number, since it is larger than the sum of its proper divisors (2179957483133).

2265946153636 is an equidigital number, since it uses as much as digits as its factorization.

2265946153636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 1357 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 58.

The spelling of 2265946153636 in words is "two trillion, two hundred sixty-five billion, nine hundred forty-six million, one hundred fifty-three thousand, six hundred thirty-six".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 484 583 1166 1291 2332 2582 2809 5164 5618 6413 11236 12826 14201 25652 28402 30899 56804 61798 68423 123596 136846 156211 273692 312422 339889 624844 679778 752653 1359556 1505306 1666681 3010612 3333362 3626419 6666724 7252838 8279183 14505676 16558366 18333491 33116732 36666982 39890609 73333964 79781218 88334093 159562436 176668186 201668401 353336372 403336802 438796699 806673604 877593398 971675023 1755186796 1943350046 3886700092 4681706929 9363413858 10688425253 18726827716 21376850506 42753701012 51498776219 102997552438 205995104876 566486538409 1132973076818 2265946153636