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5778134144 = 27316612203
BaseRepresentation
bin1010110000110011…
…10101010010000000
3112220200120121221022
411120121311102000
543313200243034
62353205245012
7263121221066
oct53031652200
915820517838
105778134144
1124a5673782
121153103768
13711126cb3
143cb578036
1523c40eb2e
hex158675480

5778134144 has 64 divisors (see below), whose sum is σ = 11905831680. Its totient is φ = 2790374400.

The previous prime is 5778134123. The next prime is 5778134161. The reversal of 5778134144 is 4414318775.

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

It is a super-2 number, since 2×57781341442 = 66773668372117225472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5778134095 and 5778134104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2621747 + ... + 2623949.

It is an arithmetic number, because the mean of its divisors is an integer number (186028620).

Almost surely, 25778134144 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 5778134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952915840).

5778134144 is an abundant number, since it is smaller than the sum of its proper divisors (6127697536).

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

5778134144 is a wasteful number, since it uses less digits than its factorization.

5778134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2897 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The square root of 5778134144 is about 76014.0391243618. The cubic root of 5778134144 is about 1794.4410954849.

The spelling of 5778134144 in words is "five billion, seven hundred seventy-eight million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 661 992 1322 1984 2203 2644 3968 4406 5288 8812 10576 17624 20491 21152 35248 40982 42304 68293 70496 81964 84608 136586 140992 163928 273172 281984 327856 546344 655712 1092688 1311424 1456183 2185376 2622848 2912366 4370752 5824732 8741504 11649464 23298928 45141673 46597856 90283346 93195712 180566692 186391424 361133384 722266768 1444533536 2889067072 5778134144