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11240780568 = 2334710793133
BaseRepresentation
bin10100111100000000…
…01011001100011000
31002000101111211002020
422132000023030120
5141010114434233
65055224534440
7545362026003
oct123600131430
932011454066
1011240780568
1148491448a6
122218621420
1310a1a8c864
14788c6a53a
1545bca19b3
hex29e00b318

11240780568 has 64 divisors (see below), whose sum is σ = 28968399360. Its totient is φ = 3632893056.

The previous prime is 11240780549. The next prime is 11240780587. The reversal of 11240780568 is 86508704211.

It is an interprime number because it is at equal distance from previous prime (11240780549) and next prime (11240780587).

It is a congruent number.

It is an unprimeable number.

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, 74130 + ... + 167262.

It is an arithmetic number, because the mean of its divisors is an integer number (452631240).

Almost surely, 211240780568 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 11240780568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484199680).

11240780568 is an abundant number, since it is smaller than the sum of its proper divisors (17727618792).

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

11240780568 is a wasteful number, since it uses less digits than its factorization.

11240780568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93296 (or 93292 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 11240780568 in words is "eleven billion, two hundred forty million, seven hundred eighty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 107 141 188 214 282 321 376 428 564 642 856 1128 1284 2568 5029 10058 15087 20116 30174 40232 60348 93133 120696 186266 279399 372532 558798 745064 1117596 2235192 4377251 8754502 9965231 13131753 17509004 19930462 26263506 29895693 35018008 39860924 52527012 59791386 79721848 105054024 119582772 239165544 468365857 936731714 1405097571 1873463428 2810195142 3746926856 5620390284 11240780568