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11187601408 = 2143122027
BaseRepresentation
bin10100110101101010…
…10100000000000000
31001212200110000222201
422122311110000000
5140403011221113
65050045042544
7544145020504
oct123265240000
931780400881
1011187601408
114821122585
122202856454
131093a603b9
14781b86304
15457299cdd
hex29ad54000

11187601408 has 60 divisors (see below), whose sum is σ = 23097327232. Its totient is φ = 5413109760.

The previous prime is 11187601331. The next prime is 11187601441. The reversal of 11187601408 is 80410678111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496891 + ... + 518917.

Almost surely, 211187601408 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 11187601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548663616).

11187601408 is an abundant number, since it is smaller than the sum of its proper divisors (11909725824).

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

11187601408 is an frugal number, since it uses more digits than its factorization.

11187601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22086 (or 22060 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 11187601408 in words is "eleven billion, one hundred eighty-seven million, six hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1984 2048 3968 4096 7936 8192 15872 16384 22027 31744 44054 63488 88108 126976 176216 253952 352432 507904 682837 704864 1365674 1409728 2731348 2819456 5462696 5638912 10925392 11277824 21850784 22555648 43701568 45111296 87403136 90222592 174806272 180445184 349612544 360890368 699225088 1398450176 2796900352 5593800704 11187601408