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5129452768 = 2511131173643
BaseRepresentation
bin1001100011011110…
…10011110011100000
3111020110222012101011
410301233103303200
541001114442033
62204553550304
7241053425536
oct46157236340
914213865334
105129452768
1121a2495870
12bb1a15394
1363991526b
1436935c156
152004c7ccd
hex131bd3ce0

5129452768 has 96 divisors (see below), whose sum is σ = 11182292352. Its totient is φ = 2296819200.

The previous prime is 5129452747. The next prime is 5129452859. The reversal of 5129452768 is 8672549215.

It is a super-2 number, since 2×51294527682 = 52622571398285723648, which contains 22 as substring.

Its product of digits (1209600) is a multiple of the sum of its prime divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7977055 + ... + 7977697.

It is an arithmetic number, because the mean of its divisors is an integer number (116482212).

Almost surely, 25129452768 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 5129452768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5591146176).

5129452768 is an abundant number, since it is smaller than the sum of its proper divisors (6052839584).

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

5129452768 is a wasteful number, since it uses less digits than its factorization.

5129452768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 960 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The square root of 5129452768 is about 71620.1980449649. The cubic root of 5129452768 is about 1724.6077963478.

The spelling of 5129452768 in words is "five billion, one hundred twenty-nine million, four hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 173 176 262 346 352 524 643 692 1048 1286 1384 1441 1903 2096 2572 2768 2882 3806 4192 5144 5536 5764 7073 7612 10288 11528 14146 15224 20576 22663 23056 28292 30448 45326 46112 56584 60896 84233 90652 111239 113168 168466 181304 222478 226336 249293 336932 362608 444956 498586 673864 725216 889912 926563 997172 1223629 1347728 1779824 1853126 1994344 2447258 2695456 3559648 3706252 3988688 4894516 7412504 7977376 9789032 14572309 14825008 19578064 29144618 29650016 39156128 58289236 116578472 160295399 233156944 320590798 466313888 641181596 1282363192 2564726384 5129452768