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5188801128 = 2337473112113
BaseRepresentation
bin1001101010100011…
…01101001001101000
3111101121122102000120
410311101231021220
541111313114003
62214514003240
7242404040040
oct46521551150
914347572016
105188801128
112222a410a5
121009876520
13648cc4734
143731aa720
152057ec853
hex13546d268

5188801128 has 128 divisors (see below), whose sum is σ = 15196446720. Its totient is φ = 1445621760.

The previous prime is 5188801073. The next prime is 5188801141. The reversal of 5188801128 is 8211088815.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5188801128.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2454600 + ... + 2456712.

It is an arithmetic number, because the mean of its divisors is an integer number (118722240).

Almost surely, 25188801128 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 5188801128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598223360).

5188801128 is an abundant number, since it is smaller than the sum of its proper divisors (10007645592).

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

5188801128 is a wasteful number, since it uses less digits than its factorization.

5188801128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 42.

The square root of 5188801128 is about 72033.3334505630. Note that the first 3 decimals coincide. The cubic root of 5188801128 is about 1731.2336115467.

The spelling of 5188801128 in words is "five billion, one hundred eighty-eight million, eight hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 311 329 376 564 622 658 933 987 1128 1244 1316 1866 1974 2113 2177 2488 2632 3732 3948 4226 4354 6339 6531 7464 7896 8452 8708 12678 13062 14617 14791 16904 17416 25356 26124 29234 29582 43851 44373 50712 52248 58468 59164 87702 88746 99311 102319 116936 118328 175404 177492 198622 204638 297933 306957 350808 354984 397244 409276 595866 613914 657143 695177 794488 818552 1191732 1227828 1314286 1390354 1971429 2085531 2383464 2455656 2628572 2780708 3942858 4171062 4600001 5257144 5561416 7885716 8342124 9200002 13800003 15771432 16684248 18400004 27600006 30885721 36800008 55200012 61771442 92657163 110400024 123542884 185314326 216200047 247085768 370628652 432400094 648600141 741257304 864800188 1297200282 1729600376 2594400564 5188801128