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5281237632 = 27311310333
BaseRepresentation
bin1001110101100100…
…10100101010000000
3111122001120200001210
410322302110222000
541303444101012
62232015130120
7244605531156
oct47262245200
914561520053
105281237632
112270137000
121034813940
136621ba6a8
1438158d3d6
1520d9ab23c
hex13ac94a80

5281237632 has 128 divisors (see below), whose sum is σ = 15431555520. Its totient is φ = 1600220160.

The previous prime is 5281237631. The next prime is 5281237649. The reversal of 5281237632 is 2367321825.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5281237631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505938 + ... + 516270.

Almost surely, 25281237632 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 5281237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715777760).

5281237632 is an abundant number, since it is smaller than the sum of its proper divisors (10150317888).

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

5281237632 is a wasteful number, since it uses less digits than its factorization.

5281237632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10349 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 5281237632 is about 72672.1241742664. The cubic root of 5281237632 is about 1741.4535825493.

The spelling of 5281237632 in words is "five billion, two hundred eighty-one million, two hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1331 1408 1452 1936 2112 2662 2904 3872 3993 4224 5324 5808 7744 7986 10333 10648 11616 15488 15972 20666 21296 23232 30999 31944 41332 42592 46464 61998 63888 82664 85184 113663 123996 127776 165328 170368 227326 247992 255552 330656 340989 454652 495984 511104 661312 681978 909304 991968 1250293 1322624 1363956 1818608 1983936 2500586 2727912 3637216 3750879 3967872 5001172 5455824 7274432 7501758 10002344 10911648 13753223 14548864 15003516 20004688 21823296 27506446 30007032 40009376 41259669 43646592 55012892 60014064 80018752 82519338 110025784 120028128 160037504 165038676 220051568 240056256 330077352 440103136 480112512 660154704 880206272 1320309408 1760412544 2640618816 5281237632