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53005332421233 = 32314347113831899
BaseRepresentation
bin11000000110101010001000…
…00000101001101001110001
320221200021000202022121100200
430003111010000221221301
523421414410044434413
6304422151421105413
714110336356463623
oct1403250400515161
9227607022277320
1053005332421233
111598648733a865
125b409566b8269
1323764c5c215ca
14d136867b4c13
1561dbcc5c0573
hex303544029a71

53005332421233 has 96 divisors (see below), whose sum is σ = 83322678067200. Its totient is φ = 32401695029760.

The previous prime is 53005332421229. The next prime is 53005332421243. The reversal of 53005332421233 is 33212423350035.

53005332421233 is a `hidden beast` number, since 5 + 30 + 0 + 53 + 324 + 21 + 233 = 666.

It is not a de Polignac number, because 53005332421233 - 22 = 53005332421229 is a prime.

It is a super-2 number, since 2×530053324212332 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53005332421243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63300118 + ... + 64132016.

It is an arithmetic number, because the mean of its divisors is an integer number (867944563200).

Almost surely, 253005332421233 is an apocalyptic number.

It is an amenable number.

53005332421233 is a deficient number, since it is larger than the sum of its proper divisors (30317345645967).

53005332421233 is a wasteful number, since it uses less digits than its factorization.

53005332421233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832139 (or 832136 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 53005332421233 its reverse (33212423350035), we get a palindrome (86217755771268).

The spelling of 53005332421233 in words is "fifty-three trillion, five billion, three hundred thirty-two million, four hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 31 43 47 93 113 129 141 279 339 387 423 1017 1333 1457 2021 3503 3999 4371 4859 5311 6063 10509 11997 13113 14577 15933 18189 31527 43731 47799 62651 150629 164641 187953 228373 451887 493923 563859 685119 831899 1355661 1481769 2055357 2495697 7079563 7487091 21238689 25788869 35771657 39099253 63716067 77366607 94004587 107314971 117297759 232099821 282013761 321944913 351893277 846041283 1108921367 1212076843 1681267879 2914142197 3326764101 3636230529 4042197241 4418215589 5043803637 8742426591 9980292303 10908691587 12126591723 13254646767 15131410911 26227279773 36379775169 39763940301 52119304249 125308114471 136964683259 156357912747 189983270327 375924343413 410894049777 469073738241 569949810981 1127773030239 1232682149331 1709849432943 5889481380137 17668444140411 53005332421233