Search a number
-
+
52645309529076 = 2232114312577245821
BaseRepresentation
bin10111111100001011100001…
…11110010011101111110100
320220101211202010201201201200
423332011300332103233310
523400020043214412301
6303544531001052500
714042332563420465
oct1376056076235764
9226354663651650
1052645309529076
1115857828850270
125aa301b787130
13234b57b9abb84
14d00091b40d6c
1561465a68ac86
hex2fe170f93bf4

52645309529076 has 144 divisors (see below), whose sum is σ = 148561971125568. Its totient is φ = 15580818892800.

The previous prime is 52645309529069. The next prime is 52645309529077. The reversal of 52645309529076 is 67092590354625.

It is a happy number.

52645309529076 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 5 + 30 + 9 + 529 + 0 + 76 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52645309529077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214038246 + ... + 214284066.

Almost surely, 252645309529076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52645309529076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280985562784).

52645309529076 is an abundant number, since it is smaller than the sum of its proper divisors (95916661596492).

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

52645309529076 is a wasteful number, since it uses less digits than its factorization.

52645309529076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258462 (or 258457 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 52645309529076 in words is "fifty-two trillion, six hundred forty-five billion, three hundred nine million, five hundred twenty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 12577 17028 25154 37731 50308 75462 113193 138347 150924 226386 245821 276694 415041 452772 491642 540811 553388 737463 830082 983284 1081622 1245123 1474926 1622433 1660164 2163244 2212389 2490246 2704031 2949852 3244866 4424778 4867299 4980492 5408062 5948921 6489732 8112093 8849556 9734598 10570303 10816124 11897842 16224186 17846763 19469196 21140606 23795684 24336279 31710909 32448372 35693526 42281212 48672558 53540289 63421818 71387052 95132727 97345116 107080578 116273333 126843636 190265454 214161156 232546666 348819999 380530908 465093332 697639998 1046459997 1395279996 2092919994 3091690717 4185839988 6183381434 9275072151 12366762868 18550144302 27825216453 34008597887 37100288604 55650432906 68017195774 102025793661 111300865812 132942700831 136034391548 204051587322 265885401662 306077380983 398828102493 408103174644 531770803324 612154761966 797656204986 1196484307479 1224309523932 1462369709141 1595312409972 2392968614958 2924739418282 4387109127423 4785937229916 5849478836564 8774218254846 13161327382269 17548436509692 26322654764538 52645309529076