Search a number
-
+
5068019328 = 273171276113
BaseRepresentation
bin1001011100001001…
…11101011010000000
3111002012101001112120
410232010331122000
540334403104303
62154521124240
7236406311361
oct45604753200
914065331476
105068019328
112170845a29
12b95329680
13629c85a08
14361129b68
151e9de0553
hex12e13d680

5068019328 has 128 divisors (see below), whose sum is σ = 14368389120. Its totient is φ = 1577189376.

The previous prime is 5068019317. The next prime is 5068019329. The reversal of 5068019328 is 8239108605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5068019328.

It is not an unprimeable number, because it can be changed into a prime (5068019329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826000 + ... + 832112.

It is an arithmetic number, because the mean of its divisors is an integer number (112253040).

Almost surely, 25068019328 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 5068019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184194560).

5068019328 is an abundant number, since it is smaller than the sum of its proper divisors (9300369792).

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

5068019328 is a wasteful number, since it uses less digits than its factorization.

5068019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6262 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5068019328 is about 71190.0226717199. The cubic root of 5068019328 is about 1717.6951424671.

The spelling of 5068019328 in words is "five billion, sixty-eight million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 127 128 136 192 204 254 272 381 384 408 508 544 762 816 1016 1088 1524 1632 2032 2159 2176 3048 3264 4064 4318 6096 6113 6477 6528 8128 8636 12192 12226 12954 16256 17272 18339 24384 24452 25908 34544 36678 48768 48904 51816 69088 73356 97808 103632 103921 138176 146712 195616 207264 207842 276352 293424 311763 391232 414528 415684 586848 623526 776351 782464 829056 831368 1173696 1247052 1552702 1662736 2329053 2347392 2494104 3105404 3325472 4658106 4988208 6210808 6650944 9316212 9976416 12421616 13197967 13301888 18632424 19952832 24843232 26395934 37264848 39593901 39905664 49686464 52791868 74529696 79187802 99372928 105583736 149059392 158375604 211167472 298118784 316751208 422334944 633502416 844669888 1267004832 1689339776 2534009664 5068019328