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5241315505356 = 22327233541165001
BaseRepresentation
bin100110001000101011010…
…1111111011010011001100
3200120001202021210221111200
41030101112233323103030
51141333203232132411
615051454353145500
71050446453466420
oct114212657732314
920501667727450
105241315505356
111740913a64407
12707975b5b290
132c033bb6c318
14141976a30b80
1591512dd1e56
hex4c456bfb4cc

5241315505356 has 144 divisors (see below), whose sum is σ = 15234764021568. Its totient is φ = 1488326400000.

The previous prime is 5241315505189. The next prime is 5241315505369. The reversal of 5241315505356 is 6535055131425.

5241315505356 is a `hidden beast` number, since 5 + 2 + 4 + 131 + 5 + 505 + 3 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31682856 + ... + 31847856.

It is an arithmetic number, because the mean of its divisors is an integer number (105796972372).

Almost surely, 25241315505356 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 5241315505356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617382010784).

5241315505356 is an abundant number, since it is smaller than the sum of its proper divisors (9993448516212).

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

5241315505356 is a wasteful number, since it uses less digits than its factorization.

5241315505356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165792 (or 165787 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 5241315505356 in words is "five trillion, two hundred forty-one billion, three hundred fifteen million, five hundred five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 466 541 699 932 1082 1398 1623 1631 2097 2164 2796 3246 3262 3787 4194 4869 4893 6492 6524 7574 8388 9738 9786 11361 14679 15148 19476 19572 22722 29358 34083 45444 58716 68166 126053 136332 165001 252106 330002 378159 495003 504212 660004 756318 882371 990006 1134477 1155007 1485009 1512636 1764742 1980012 2268954 2310014 2647113 2970018 3465021 3529484 4537908 4620028 5294226 5940036 6930042 7941339 10395063 10588452 13860084 15882678 20790126 31765356 38445233 41580252 76890466 89265541 115335699 153780932 178531082 230671398 267796623 269116631 346007097 357062164 461342796 535593246 538233262 624858787 692014194 803389869 807349893 1071186492 1076466524 1249717574 1384028388 1606779738 1614699786 1874576361 2422049679 2499435148 3213559476 3229399572 3749152722 4844099358 5623729083 7498305444 9688198716 11247458166 20798871053 22494916332 41597742106 62396613159 83195484212 124793226318 145592097371 187189839477 249586452636 291184194742 374379678954 436776292113 582368389484 748759357908 873552584226 1310328876339 1747105168452 2620657752678 5241315505356