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5460834688 = 27192578737
BaseRepresentation
bin1010001010111110…
…11011100110000000
3112002120112010220121
411011133123212000
542140433202223
62301512350024
7252216220561
oct50537334600
915076463817
105460834688
112352553a21
1210849a5314
1369048003a
1439b380168
1521e63515d
hex1457db980

5460834688 has 64 divisors (see below), whose sum is σ = 11497460400. Its totient is φ = 2576351232.

The previous prime is 5460834683. The next prime is 5460834689. The reversal of 5460834688 is 8864380645.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5460834683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620656 + ... + 629392.

Almost surely, 25460834688 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 5460834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748730200).

5460834688 is an abundant number, since it is smaller than the sum of its proper divisors (6036625712).

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

5460834688 is a wasteful number, since it uses less digits than its factorization.

5460834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The square root of 5460834688 is about 73897.4606329609. The cubic root of 5460834688 is about 1760.9742677462.

The spelling of 5460834688 in words is "five billion, four hundred sixty million, eight hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 257 304 514 608 1028 1216 2056 2432 4112 4883 8224 8737 9766 16448 17474 19532 32896 34948 39064 69896 78128 139792 156256 166003 279584 312512 332006 559168 625024 664012 1118336 1328024 2245409 2656048 4490818 5312096 8981636 10624192 17963272 21248384 35926544 42662771 71853088 85325542 143706176 170651084 287412352 341302168 682604336 1365208672 2730417344 5460834688