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5098353408 = 28332293221
BaseRepresentation
bin1001011111110001…
…01011001100000000
3111011022110012002000
410233320223030000
540420134302113
62201523224000
7240225201051
oct45770531400
914138405060
105098353408
112186984415
12ba3518000
13633346a85
14365184728
151ec8d3373
hex12fe2b300

5098353408 has 144 divisors (see below), whose sum is σ = 15147266400. Its totient is φ = 1691504640.

The previous prime is 5098353373. The next prime is 5098353419. The reversal of 5098353408 is 8043538905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1581238 + ... + 1584458.

It is an arithmetic number, because the mean of its divisors is an integer number (105189350).

Almost surely, 25098353408 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 5098353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573633200).

5098353408 is an abundant number, since it is smaller than the sum of its proper divisors (10048912992).

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

5098353408 is a wasteful number, since it uses less digits than its factorization.

5098353408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5098353408 is about 71402.7549048354. The cubic root of 5098353408 is about 1721.1153537386.

The spelling of 5098353408 in words is "five billion, ninety-eight million, three hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 229 256 288 384 432 458 576 687 768 864 916 1152 1374 1728 1832 2061 2304 2748 3221 3456 3664 4122 5496 6183 6442 6912 7328 8244 9663 10992 12366 12884 14656 16488 19326 21984 24732 25768 28989 29312 32976 38652 43968 49464 51536 57978 58624 65952 77304 86967 87936 98928 103072 115956 131904 154608 173934 175872 197856 206144 231912 263808 309216 347868 395712 412288 463824 527616 618432 695736 737609 791424 824576 927648 1236864 1391472 1475218 1582848 1855296 2212827 2473728 2782944 2950436 3710592 4425654 5565888 5900872 6638481 7421184 8851308 11131776 11801744 13276962 17702616 19915443 22263552 23603488 26553924 35405232 39830886 47206976 53107848 70810464 79661772 94413952 106215696 141620928 159323544 188827904 212431392 283241856 318647088 424862784 566483712 637294176 849725568 1274588352 1699451136 2549176704 5098353408