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11328620544 = 21132614617
BaseRepresentation
bin10101000110011110…
…10000100000000000
31002020111210112212200
422203033100200000
5141200111324134
65112043353200
7550506454143
oct124317204000
932214715780
1011328620544
11489379031a
122241b22800
1310b7036587
147967b405a
15464853499
hex2a33d0800

11328620544 has 72 divisors (see below), whose sum is σ = 32719189230. Its totient is φ = 3776200704.

The previous prime is 11328620543. The next prime is 11328620561. The reversal of 11328620544 is 44502682311.

It is a happy number.

11328620544 is a `hidden beast` number, since 1 + 1 + 3 + 28 + 620 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9160786944 + 2167833600 = 95712^2 + 46560^2 .

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 = 11328620499 and 11328620508.

It is not an unprimeable number, because it can be changed into a prime (11328620543) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 288877 + ... + 325740.

Almost surely, 211328620544 is an apocalyptic number.

It is an amenable number.

11328620544 is an abundant number, since it is smaller than the sum of its proper divisors (21390568686).

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

11328620544 is an equidigital number, since it uses as much as digits as its factorization.

11328620544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614645 (or 614622 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 11328620544 in words is "eleven billion, three hundred twenty-eight million, six hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 614617 1229234 1843851 2458468 3687702 4916936 5531553 7375404 9833872 11063106 14750808 19667744 22126212 29501616 39335488 44252424 59003232 78670976 88504848 118006464 157341952 177009696 236012928 314683904 354019392 472025856 629367808 708038784 944051712 1258735616 1416077568 1888103424 2832155136 3776206848 5664310272 11328620544