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5111105105024 = 271723131779573
BaseRepresentation
bin100101001100000010110…
…0110101010110010000000
3200002121122200222020212222
41022120011212222302000
51132220020401330044
614512002000310212
71035156643400132
oct112300546526200
920077580866788
105111105105024
1116a0675649406
126a6696912368
132b0c8a50b669
14139543637052
158ce4185c8ee
hex4a6059aac80

5111105105024 has 128 divisors (see below), whose sum is σ = 11335879082880. Its totient is φ = 2283085742080.

The previous prime is 5111105105023. The next prime is 5111105105027. The reversal of 5111105105024 is 4205015011115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51111051050242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5111105104984 and 5111105105002.

It is not an unprimeable number, because it can be changed into a prime (5111105105023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6166502 + ... + 6946074.

It is an arithmetic number, because the mean of its divisors is an integer number (88561555335).

Almost surely, 25111105105024 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 5111105105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667939541440).

5111105105024 is an abundant number, since it is smaller than the sum of its proper divisors (6224773977856).

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

5111105105024 is a wasteful number, since it uses less digits than its factorization.

5111105105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779758 (or 779746 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 26.

The spelling of 5111105105024 in words is "five trillion, one hundred eleven billion, one hundred five million, one hundred five thousand, twenty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 131 136 184 262 272 368 391 524 544 736 782 1048 1088 1472 1564 2096 2176 2227 2944 3013 3128 4192 4454 6026 6256 8384 8908 12052 12512 16768 17816 24104 25024 35632 48208 50048 51221 71264 96416 102442 142528 192832 204884 285056 385664 409768 779573 819536 1559146 1639072 3118292 3278144 6236584 6556288 12473168 13252741 17930179 24946336 26505482 35860358 49892672 53010964 71720716 99785344 102124063 106021928 143441432 204248126 212043856 286882864 304813043 408496252 424087712 573765728 609626086 816992504 848175424 1147531456 1219252172 1633985008 1696350848 1736109071 2295062912 2348853449 2438504344 3267970016 3472218142 4697706898 4877008688 6535940032 6944436284 9395413796 9754017376 13071880064 13888872568 18790827592 19508034752 27777745136 37581655184 39016069504 39930508633 55555490272 75163310368 79861017266 111110980544 150326620736 159722034532 222221961088 300653241472 319444069064 638888138128 1277776276256 2555552552512 5111105105024