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11457133444 = 2210924912
BaseRepresentation
bin10101010101110010…
…11111101110000100
31002120110121200102201
422222321133232010
5141431011232234
65132514044244
7553630012261
oct125271375604
932513550381
1011457133444
11494a286a29
122278b79684
131107851203
147a98a8268
15470c8b314
hex2aae5fb84

11457133444 has 27 divisors (see below), whose sum is σ = 20276912901. Its totient is φ = 5664450960.

The previous prime is 11457133417. The next prime is 11457133447. The reversal of 11457133444 is 44433175411.

The square root of 11457133444 is 107038.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7985567044 + 3471566400 = 89362^2 + 58920^2 .

It is a super-2 number, since 2×114571334442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11457133447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23334039 + ... + 23334529.

Almost surely, 211457133444 is an apocalyptic number.

11457133444 is the 107038-th square number.

It is an amenable number.

11457133444 is a deficient number, since it is larger than the sum of its proper divisors (8819779457).

11457133444 is an frugal number, since it uses more digits than its factorization.

11457133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 602 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The spelling of 11457133444 in words is "eleven billion, four hundred fifty-seven million, one hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 4 109 218 436 491 982 1964 11881 23762 47524 53519 107038 214076 241081 482162 964324 5833571 11667142 23334284 26277829 52555658 105111316 2864283361 5728566722 11457133444