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69112203664 = 24724122292
BaseRepresentation
bin100000001011101101…
…0001000100110010000
320121101112210201020211
41000113122020212100
52113020211004124
651425534213504
74664444016100
oct1002732104620
9217345721224
1069112203664
1127346045599
1211489654294
13669553488a
1434b8b55200
151be76e4e94
hex1017688990

69112203664 has 135 divisors (see below), whose sum is σ = 160359019011. Its totient is φ = 28770900480.

The previous prime is 69112203661. The next prime is 69112203701. The reversal of 69112203664 is 46630221196.

The square root of 69112203664 is 262892.

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

It can be written as a sum of positive squares in 4 ways, for example, as 132434064 + 68979769600 = 11508^2 + 262640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (69112203661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301799902 + ... + 301800130.

Almost surely, 269112203664 is an apocalyptic number.

69112203664 is the 262892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69112203664

69112203664 is an abundant number, since it is smaller than the sum of its proper divisors (91246815347).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

69112203664 is an equidigital number, since it uses as much as digits as its factorization.

69112203664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 69112203664 in words is "sixty-nine billion, one hundred twelve million, two hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 196 229 287 328 392 458 574 656 784 916 1148 1603 1681 1832 2009 2296 3206 3362 3664 4018 4592 6412 6724 8036 9389 11221 11767 12824 13448 16072 18778 22442 23534 25648 26896 32144 37556 44884 47068 52441 65723 75112 82369 89768 94136 104882 131446 150224 164738 179536 188272 209764 262892 329476 367087 384949 419528 460061 525784 658952 734174 769898 839056 920122 1051568 1317904 1468348 1539796 1840244 2150081 2569609 2694643 2936696 3079592 3680488 4300162 5139218 5389286 5873392 6159184 7360976 8600324 10278436 10778572 15050567 17200648 18862501 20556872 21557144 30101134 34401296 37725002 41113744 43114288 60202268 75450004 88153321 105353969 120404536 150900008 176306642 210707938 240809072 301800016 352613284 421415876 617073247 705226568 842831752 1234146494 1410453136 1685663504 2468292988 4319512729 4936585976 8639025458 9873171952 17278050916 34556101832 69112203664