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11125562144 = 251740151001
BaseRepresentation
bin10100101110010001…
…01001101100100000
31001201100201010010012
422113020221230200
5140241120442034
65035551224052
7542462501144
oct122710515440
931640633105
1011125562144
11479a0a9564
1221a5b18028
131083c4b188
14777837224
15451ae2cce
hex297229b20

11125562144 has 48 divisors (see below), whose sum is σ = 23250179736. Its totient is φ = 5222400000.

The previous prime is 11125562101. The next prime is 11125562159. The reversal of 11125562144 is 44126552111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10375459600 + 750102544 = 101860^2 + 27388^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11125562144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192644 + ... + 243644.

Almost surely, 211125562144 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 11125562144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11625089868).

11125562144 is an abundant number, since it is smaller than the sum of its proper divisors (12124617592).

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

11125562144 is a wasteful number, since it uses less digits than its factorization.

11125562144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51429 (or 51421 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The spelling of 11125562144 in words is "eleven billion, one hundred twenty-five million, five hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 401 544 802 1604 3208 6416 6817 12832 13634 27268 51001 54536 102002 109072 204004 218144 408008 816016 867017 1632032 1734034 3468068 6936136 13872272 20451401 27744544 40902802 81805604 163611208 327222416 347673817 654444832 695347634 1390695268 2781390536 5562781072 11125562144