Search a number
-
+
51491471526 = 23311434614373
BaseRepresentation
bin101111111101001000…
…011000000010100110
311220220112021202221000
4233331020120002212
51320423304042101
635353240534130
73502002200145
oct577510300246
9156815252830
1051491471526
111a923658750
129b90481346
134b17a67161
1426c685375c
1515157a7486
hexbfd2180a6

51491471526 has 128 divisors (see below), whose sum is σ = 128037127680. Its totient is φ = 15204067200.

The previous prime is 51491471501. The next prime is 51491471527. The reversal of 51491471526 is 62517419415.

51491471526 is a `hidden beast` number, since 5 + 1 + 49 + 14 + 71 + 526 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51491471527) 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 63 ways as a sum of consecutive naturals, for example, 11772676 + ... + 11777048.

It is an arithmetic number, because the mean of its divisors is an integer number (1000290060).

Almost surely, 251491471526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51491471526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64018563840).

51491471526 is an abundant number, since it is smaller than the sum of its proper divisors (76545656154).

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

51491471526 is a wasteful number, since it uses less digits than its factorization.

51491471526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899 (or 4893 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 51491471526 in words is "fifty-one billion, four hundred ninety-one million, four hundred seventy-one thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 198 258 297 387 461 473 594 774 922 946 1161 1383 1419 2322 2766 2838 4149 4257 4373 5071 8298 8514 8746 10142 12447 12771 13119 15213 19823 24894 25542 26238 30426 39357 39646 45639 48103 59469 78714 91278 96206 118071 118938 136917 144309 178407 188039 218053 236142 273834 288618 356814 376078 432927 436106 535221 564117 654159 865854 1070442 1128234 1298781 1308318 1692351 1962477 2015953 2068429 2597562 3384702 3924954 4031906 4136858 5077053 5887431 6047859 6205287 10154106 11774862 12095718 12410574 18143577 18615861 22175483 36287154 37231722 44350966 54430731 55847583 66526449 86685979 108861462 111695166 133052898 173371958 199579347 260057937 399158694 520115874 598738041 780173811 953545769 1197476082 1560347622 1907091538 2340521433 2860637307 4681042866 5721274614 8581911921 17163823842 25745735763 51491471526