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11310545504 = 252367347661
BaseRepresentation
bin10101000100010100…
…10011101001100000
31002012020210020120202
422202022103221200
5141130444424004
65110200124332
7550200023216
oct124212235140
932166706522
1011310545504
114884565275
122237a666a8
1310b337839b
1479422acb6
15462e82b1e
hex2a2293a60

11310545504 has 96 divisors (see below), whose sum is σ = 23686338816. Its totient is φ = 5305259520.

The previous prime is 11310545501. The next prime is 11310545567. The reversal of 11310545504 is 40554501311.

It is a super-2 number, since 2×113105455042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310545501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17110934 + ... + 17111594.

It is an arithmetic number, because the mean of its divisors is an integer number (246732696).

Almost surely, 211310545504 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 11310545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843169408).

11310545504 is an abundant number, since it is smaller than the sum of its proper divisors (12375793312).

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

11310545504 is a wasteful number, since it uses less digits than its factorization.

11310545504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The spelling of 11310545504 in words is "eleven billion, three hundred ten million, five hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 67 92 134 184 268 347 368 536 661 694 736 1072 1322 1388 1541 2144 2644 2776 3082 5288 5552 6164 7981 10576 11104 12328 15203 15962 21152 23249 24656 30406 31924 44287 46498 49312 60812 63848 88574 92996 121624 127696 177148 185992 229367 243248 255392 354296 371984 458734 486496 534727 708592 743968 917468 1018601 1069454 1417184 1834936 2037202 2138908 3669872 4074404 4277816 5275441 7339744 8148808 8555632 10550882 15367589 16297616 17111264 21101764 30735178 32595232 42203528 61470356 84407056 122940712 168814112 245881424 353454547 491762848 706909094 1413818188 2827636376 5655272752 11310545504