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5190128608 = 257229157727
BaseRepresentation
bin1001101010101101…
…10001001111100000
3111101201010211222111
410311112301033200
541112133103413
62215002245104
7242421236200
oct46526611740
914351124874
105190128608
112223768495
12100a1b6794
1364936aa22
14373434400
152059b0d3d
hex1355b13e0

5190128608 has 144 divisors (see below), whose sum is σ = 12391535520. Its totient is φ = 2131024896.

The previous prime is 5190128569. The next prime is 5190128627. The reversal of 5190128608 is 8068210915.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7138741 + ... + 7139467.

It is an arithmetic number, because the mean of its divisors is an integer number (86052330).

Almost surely, 25190128608 is an apocalyptic number.

5190128608 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195767760).

5190128608 is an abundant number, since it is smaller than the sum of its proper divisors (7201406912).

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

5190128608 is a wasteful number, since it uses less digits than its factorization.

5190128608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The square root of 5190128608 is about 72042.5472064946. The cubic root of 5190128608 is about 1731.3812360159.

The spelling of 5190128608 in words is "five billion, one hundred ninety million, one hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 157 196 203 224 232 314 392 406 464 628 727 784 812 928 1099 1256 1421 1454 1568 1624 2198 2512 2842 2908 3248 4396 4553 5024 5089 5684 5816 6496 7693 8792 9106 10178 11368 11632 15386 17584 18212 20356 21083 22736 23264 30772 31871 35168 35623 36424 40712 42166 45472 61544 63742 71246 72848 81424 84332 114139 123088 127484 142492 145696 147581 162848 168664 223097 228278 246176 254968 284984 295162 337328 446194 456556 509936 569968 590324 674656 798973 892388 913112 1019872 1033067 1139936 1180648 1597946 1784776 1826224 2066134 2361296 3195892 3310031 3569552 3652448 4132268 4722592 5592811 6391784 6620062 7139104 8264536 11185622 12783568 13240124 16529072 22371244 23170217 25567136 26480248 33058144 44742488 46340434 52960496 89484976 92680868 105920992 162191519 178969952 185361736 324383038 370723472 648766076 741446944 1297532152 2595064304 5190128608