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11325344544 = 2532113348001
BaseRepresentation
bin10101000110000101…
…10000101100100000
31002020021122010001100
422203002300230200
5141143242011134
65111445234400
7550436561133
oct124302605440
932207563040
1011325344544
114891952a88
122240a02a00
1310b645a407
147961a021a
15464407999
hex2a30b0b20

11325344544 has 72 divisors (see below), whose sum is σ = 32491554732. Its totient is φ = 3741696000.

The previous prime is 11325344539. The next prime is 11325344549. The reversal of 11325344544 is 44544352311.

11325344544 is a `hidden beast` number, since 11 + 32 + 534 + 45 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (11325344539) and next prime (11325344549).

It can be written as a sum of positive squares in 2 ways, for example, as 11280988944 + 44355600 = 106212^2 + 6660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11325344499 and 11325344508.

It is not an unprimeable number, because it can be changed into a prime (11325344549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141457 + ... + 206544.

Almost surely, 211325344544 is an apocalyptic number.

It is an amenable number.

11325344544 is an abundant number, since it is smaller than the sum of its proper divisors (21166210188).

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

11325344544 is a wasteful number, since it uses less digits than its factorization.

11325344544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348130 (or 348119 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 11325344544 its reverse (44544352311), we get a palindrome (55869696855).

The spelling of 11325344544 in words is "eleven billion, three hundred twenty-five million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 348001 696002 1044003 1392004 2088006 2784008 3132009 4176012 5568016 6264018 8352024 11136032 12528036 16704048 25056072 33408096 39324113 50112144 78648226 100224288 117972339 157296452 235944678 314592904 353917017 471889356 629185808 707834034 943778712 1258371616 1415668068 1887557424 2831336136 3775114848 5662672272 11325344544