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11109918144 = 263137615849
BaseRepresentation
bin10100101100011001…
…11110010111000000
31001200021021022120210
422112030332113000
5140223114340034
65034232034120
7542212513623
oct122614762700
931607238523
1011109918144
114791293a36
1221a0832940
131080931680
14775723dba
154505528e9
hex29633e5c0

11109918144 has 112 divisors (see below), whose sum is σ = 31703162400. Its totient is φ = 3413360640.

The previous prime is 11109918143. The next prime is 11109918161. The reversal of 11109918144 is 44181990111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11109918143) 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, 1896532 + ... + 1902380.

It is an arithmetic number, because the mean of its divisors is an integer number (283063950).

Almost surely, 211109918144 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 11109918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851581200).

11109918144 is an abundant number, since it is smaller than the sum of its proper divisors (20593244256).

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

11109918144 is a wasteful number, since it uses less digits than its factorization.

11109918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 39.

The spelling of 11109918144 in words is "eleven billion, one hundred nine million, nine hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 761 832 1248 1522 2283 2496 3044 4566 5849 6088 9132 9893 11698 12176 17547 18264 19786 23396 24352 29679 35094 36528 39572 46792 48704 59358 70188 73056 76037 79144 93584 118716 140376 146112 152074 158288 187168 228111 237432 280752 304148 316576 374336 456222 474864 561504 608296 633152 912444 949728 1123008 1216592 1824888 1899456 2433184 3649776 4451089 4866368 7299552 8902178 13353267 14599104 17804356 26706534 35608712 53413068 57864157 71217424 106826136 115728314 142434848 173592471 213652272 231456628 284869696 347184942 427304544 462913256 694369884 854609088 925826512 1388739768 1851653024 2777479536 3703306048 5554959072 11109918144