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5079555320 = 2357295091229
BaseRepresentation
bin1001011101100001…
…11101110011111000
3111010000002010221112
410232300331303320
540400331232240
62200012255452
7236606336120
oct45660756370
914100063845
105079555320
112177305104
12b99171588
1362c494748
1436288dc80
151eae1d665
hex12ec3dcf8

5079555320 has 128 divisors (see below), whose sum is σ = 13549680000. Its totient is φ = 1676838912.

The previous prime is 5079555319. The next prime is 5079555329. The reversal of 5079555320 is 235559705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5079555329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4132466 + ... + 4133694.

It is an arithmetic number, because the mean of its divisors is an integer number (105856875).

Almost surely, 25079555320 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 5079555320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774840000).

5079555320 is an abundant number, since it is smaller than the sum of its proper divisors (8470124680).

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

5079555320 is a wasteful number, since it uses less digits than its factorization.

5079555320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 236250, while the sum is 41.

The square root of 5079555320 is about 71270.9991511274. Note that the first 3 decimals coincide. The cubic root of 5079555320 is about 1718.9974462118.

The spelling of 5079555320 in words is "five billion, seventy-nine million, five hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 509 580 812 1015 1018 1160 1229 1624 2030 2036 2458 2545 3563 4060 4072 4916 5090 6145 7126 8120 8603 9832 10180 12290 14252 14761 17206 17815 20360 24580 28504 29522 34412 35630 35641 43015 49160 59044 68824 71260 71282 73805 86030 103327 118088 142520 142564 147610 172060 178205 206654 249487 285128 295220 344120 356410 413308 498974 516635 590440 625561 712820 826616 997948 1033270 1247435 1251122 1425640 1995896 2066540 2494870 2502244 3127805 4133080 4378927 4989740 5004488 6255610 8757854 9979480 12511220 17515708 18141269 21894635 25022440 35031416 36282538 43789270 72565076 87578540 90706345 126988883 145130152 175157080 181412690 253977766 362825380 507955532 634944415 725650760 1015911064 1269888830 2539777660 5079555320