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5098005640 = 23571313710223
BaseRepresentation
bin1001011111101110…
…10110010010001000
3111011021210112000201
410233313112102020
540420042140030
62201511541544
7240222222130
oct45767262210
914137715021
105098005640
112186767102
12ba338a8b4
136332546b0
143650d3ac0
151ec8652ca
hex12fdd6488

5098005640 has 128 divisors (see below), whose sum is σ = 14221992960. Its totient is φ = 1601501184.

The previous prime is 5098005629. The next prime is 5098005667. The reversal of 5098005640 is 465008905.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5098005640.

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 31 ways as a sum of consecutive naturals, for example, 493569 + ... + 503791.

It is an arithmetic number, because the mean of its divisors is an integer number (111109320).

Almost surely, 25098005640 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 5098005640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110996480).

5098005640 is an abundant number, since it is smaller than the sum of its proper divisors (9123987320).

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

5098005640 is a wasteful number, since it uses less digits than its factorization.

5098005640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5098005640 is about 71400.3196071278. The cubic root of 5098005640 is about 1721.0762193746.

The spelling of 5098005640 in words is "five billion, ninety-eight million, five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 137 140 182 260 274 280 364 455 520 548 685 728 910 959 1096 1370 1781 1820 1918 2740 3562 3640 3836 4795 5480 7124 7672 8905 9590 10223 12467 14248 17810 19180 20446 24934 35620 38360 40892 49868 51115 62335 71240 71561 81784 99736 102230 124670 132899 143122 204460 249340 265798 286244 357805 408920 498680 531596 572488 664495 715610 930293 1063192 1328990 1400551 1431220 1860586 2657980 2801102 2862440 3721172 4651465 5315960 5602204 7002755 7442344 9302930 9803857 11204408 14005510 18207163 18605860 19607714 28011020 36414326 37211720 39215428 49019285 56022040 72828652 78430856 91035815 98038570 127450141 145657304 182071630 196077140 254900282 364143260 392154280 509800564 637250705 728286520 1019601128 1274501410 2549002820 5098005640