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5797781632 = 27473133079
BaseRepresentation
bin1010110011001001…
…10010000010000000
3112222001112211020001
411121210302002000
543333213003012
62355150325344
7263450221306
oct53144620200
915861484201
105797781632
112505773175
1211597b9854
13715215b26
143d0010276
1523dee1357
hex159932080

5797781632 has 64 divisors (see below), whose sum is σ = 11837548800. Its totient is φ = 2827229184.

The previous prime is 5797781629. The next prime is 5797781641. The reversal of 5797781632 is 2361877975.

It is a happy number.

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

It is a super-2 number, since 2×57977816322 = 67228543704713166848, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1881469 + ... + 1884547.

It is an arithmetic number, because the mean of its divisors is an integer number (184961700).

Almost surely, 25797781632 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 5797781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5918774400).

5797781632 is an abundant number, since it is smaller than the sum of its proper divisors (6039767168).

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

5797781632 is a wasteful number, since it uses less digits than its factorization.

5797781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3441 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 55.

The square root of 5797781632 is about 76143.1653663019. The cubic root of 5797781632 is about 1796.4726840860.

The spelling of 5797781632 in words is "five billion, seven hundred ninety-seven million, seven hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 313 376 626 752 1252 1504 2504 3008 3079 5008 6016 6158 10016 12316 14711 20032 24632 29422 40064 49264 58844 98528 117688 144713 197056 235376 289426 394112 470752 578852 941504 963727 1157704 1883008 1927454 2315408 3854908 4630816 7709816 9261632 15419632 18523264 30839264 45295169 61678528 90590338 123357056 181180676 362361352 724722704 1449445408 2898890816 5797781632