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89365241083867 = 7389101127228223
BaseRepresentation
bin10100010100011011110111…
…011100110011011111011011
3102201102020022022012022220221
4110110123313130303133123
543203130003204140432
6514021454111100511
724552265660642000
oct2424336734633733
9381366268168827
1089365241083867
11265246499324a1
12a0336ba511737
133ab314c079838
14180d42d36b8a7
15a4e8dd200b97
hex5146f77337db

89365241083867 has 64 divisors (see below), whose sum is σ = 107268931584000. Its totient is φ = 74397450758400.

The previous prime is 89365241083841. The next prime is 89365241083871. The reversal of 89365241083867 is 76838014256398.

It is not a de Polignac number, because 89365241083867 - 211 = 89365241081819 is a prime.

It is a super-2 number, since 2×893652410838672 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89365241083796 and 89365241083805.

It is not an unprimeable number, because it can be changed into a prime (89365241083967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391455718 + ... + 391683940.

It is an arithmetic number, because the mean of its divisors is an integer number (1676077056000).

It is a 1-persistent number, because it is pandigital, but 2⋅89365241083867 = 178730482167734 is not.

Almost surely, 289365241083867 is an apocalyptic number.

89365241083867 is a deficient number, since it is larger than the sum of its proper divisors (17903690500133).

89365241083867 is a wasteful number, since it uses less digits than its factorization.

89365241083867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228561 (or 228547 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 70.

The spelling of 89365241083867 in words is "eighty-nine trillion, three hundred sixty-five billion, two hundred forty-one million, eighty-three thousand, eight hundred sixty-seven".

Divisors: 1 7 49 89 101 127 343 623 707 889 4361 4949 6223 8989 11303 12827 30527 34643 43561 62923 79121 89789 228223 440461 553847 628523 1141603 1597561 3083227 3876929 4399661 7991221 11182927 20311847 23050523 28984321 55938547 78280489 142182929 161353661 202890247 391569829 995280503 1129475627 1420231729 2051496547 2579604569 2927416421 6966963521 7906329389 9941622103 14360475829 18057231983 20491914947 100523330803 126400623881 143443404629 260540061469 703663315621 884804367167 1004103832403 1823780430283 12766463011981 89365241083867