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53442544302 = 232731101135467
BaseRepresentation
bin110001110001011011…
…001000001010101110
312002221111120112121200
4301301123020022232
51333422242404202
640315015110330
73601233063030
oct616133101256
9162844515550
1053442544302
1120734a17594
12a4359723a6
1350690404a4
14282da13c50
1515cbc02e1c
hexc716c82ae

53442544302 has 96 divisors (see below), whose sum is σ = 137956276224. Its totient is φ = 14630328000.

The previous prime is 53442544283. The next prime is 53442544303. The reversal of 53442544302 is 20344524435.

53442544302 is a `hidden beast` number, since 5 + 344 + 2 + 5 + 4 + 4 + 302 = 666.

It is a super-2 number, since 2×534425443022 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53442544303) 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 47 ways as a sum of consecutive naturals, for example, 326773 + ... + 462239.

It is an arithmetic number, because the mean of its divisors is an integer number (1437044544).

Almost surely, 253442544302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53442544302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68978138112).

53442544302 is an abundant number, since it is smaller than the sum of its proper divisors (84513731922).

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

53442544302 is a wasteful number, since it uses less digits than its factorization.

53442544302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135614 (or 135611 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 53442544302 in words is "fifty-three billion, four hundred forty-two million, five hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 101 126 186 202 217 279 303 434 558 606 651 707 909 1302 1414 1818 1953 2121 3131 3906 4242 6262 6363 9393 12726 18786 21917 28179 43834 56358 65751 131502 135467 197253 270934 394506 406401 812802 948269 1219203 1896538 2438406 2844807 4199477 5689614 8398954 8534421 12598431 13682167 17068842 25196862 27364334 29396339 37795293 41046501 58792678 75590586 82093002 88189017 95775169 123139503 176378034 191550338 246279006 264567051 287325507 424147177 529134102 574651014 848294354 861976521 1272441531 1723953042 2544883062 2969030239 3817324593 5938060478 7634649186 8907090717 17814181434 26721272151 53442544302