Search a number
-
+
53011249551 = 34132343109467
BaseRepresentation
bin110001010111101101…
…110111100110001111
312001211110000111110000
4301113231313212033
51332031334441201
640204131015343
73554445120651
oct612755674617
9161743014400
1053011249551
1120533517447
12a33543a553
134cca8927b0
1427cc6246d1
1515a3e0bd86
hexc57b7798f

53011249551 has 160 divisors (see below), whose sum is σ = 92090718720. Its totient is φ = 30133990656.

The previous prime is 53011249541. The next prime is 53011249553. The reversal of 53011249551 is 15594211035.

It is a happy number.

53011249551 is a `hidden beast` number, since 5 + 3 + 0 + 112 + 495 + 51 = 666.

It is not a de Polignac number, because 53011249551 - 210 = 53011248527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53011249553) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 113514220 + ... + 113514686.

It is an arithmetic number, because the mean of its divisors is an integer number (575566992).

Almost surely, 253011249551 is an apocalyptic number.

53011249551 is a deficient number, since it is larger than the sum of its proper divisors (39079469169).

53011249551 is a wasteful number, since it uses less digits than its factorization.

53011249551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 53011249551 in words is "fifty-three billion, eleven million, two hundred forty-nine thousand, five hundred fifty-one".

Divisors: 1 3 9 13 23 27 39 43 69 81 109 117 129 207 299 327 351 387 467 559 621 897 981 989 1053 1161 1401 1417 1677 1863 2507 2691 2943 2967 3483 4203 4251 4687 5031 6071 7521 8073 8829 8901 10741 12609 12753 12857 14061 15093 18213 20081 22563 24219 26703 32223 32591 37827 38259 38571 42183 45279 50903 54639 60243 60931 67689 80109 96669 97773 107801 114777 115713 126549 139633 152709 163917 180729 182793 203067 261053 290007 293319 323403 347139 379647 418899 458127 461863 491751 542187 548379 661739 783159 870021 879957 970209 1041417 1170769 1256697 1374381 1385589 1401413 1626561 1645137 1985217 2188829 2349477 2639871 2910627 3512307 3770091 4123143 4156767 4204239 4935411 5955651 6004219 6566487 7048431 8731881 10536921 11310273 12470301 12612717 15219997 17866953 18012657 19699461 21145293 28454777 31610763 37410903 37838151 45659991 50343067 53600859 54037971 59098383 85364331 94832289 113514453 136979973 151029201 162113913 177295149 256092993 410939919 453087603 486341739 654459871 768278979 1232819757 1359262809 1963379613 2304836937 4077788427 5890138839 17670416517 53011249551