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1125646464 = 27313921089
BaseRepresentation
bin100001100011000…
…0000000010000000
32220110002202122210
41003012000002000
54301131141324
6303410302120
736615560055
oct10306000200
92813082583
101125646464
11528441938
12274b87940
1314c2901c7
14a96d702c
1568c4ed29
hex43180080

1125646464 has 64 divisors (see below), whose sum is σ = 3011652000. Its totient is φ = 372498432.

The previous prime is 1125646453. The next prime is 1125646477. The reversal of 1125646464 is 4646465211.

It is a tau number, because it is divible by the number of its divisors (64).

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, 42832 + ... + 63920.

Almost surely, 21125646464 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 1125646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505826000).

1125646464 is an abundant number, since it is smaller than the sum of its proper divisors (1886005536).

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

1125646464 is a wasteful number, since it uses less digits than its factorization.

1125646464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21245 (or 21233 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 1125646464 is about 33550.6551947946. The cubic root of 1125646464 is about 1040.2410880920.

The spelling of 1125646464 in words is "one billion, one hundred twenty-five million, six hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 278 384 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 17792 21089 26688 42178 53376 63267 84356 126534 168712 253068 337424 506136 674848 1012272 1349696 2024544 2699392 2931371 4049088 5862742 8098176 8794113 11725484 17588226 23450968 35176452 46901936 70352904 93803872 140705808 187607744 281411616 375215488 562823232 1125646464