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5127055590 = 235313724027
BaseRepresentation
bin1001100011001100…
…01010100011100110
3111020022110102001210
410301212022203212
541000011234330
62204430332250
7241024152636
oct46146124346
914208412053
105127055590
1121a10a8828
12bb105a086
13639286107
14368cd66c6
152001a28b0
hex13198a8e6

5127055590 has 96 divisors (see below), whose sum is σ = 13057680384. Its totient is φ = 1287031680.

The previous prime is 5127055579. The next prime is 5127055601. The reversal of 5127055590 is 955507215.

It is an interprime number because it is at equal distance from previous prime (5127055579) and next prime (5127055601).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271157 + ... + 1275183.

It is an arithmetic number, because the mean of its divisors is an integer number (136017504).

Almost surely, 25127055590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5127055590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528840192).

5127055590 is an abundant number, since it is smaller than the sum of its proper divisors (7930624794).

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

5127055590 is a wasteful number, since it uses less digits than its factorization.

5127055590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 39.

The square root of 5127055590 is about 71603.4607403860. The cubic root of 5127055590 is about 1724.3390973760.

The spelling of 5127055590 in words is "five billion, one hundred twenty-seven million, fifty-five thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 1369 2294 2738 3441 4027 4107 5735 6845 6882 8054 8214 11470 12081 13690 17205 20135 20535 24162 34410 40270 41070 42439 60405 84878 120810 124837 127317 148999 212195 249674 254634 297998 374511 424390 446997 624185 636585 744995 749022 893994 1248370 1273170 1489990 1872555 2234985 3745110 4469970 4618969 5512963 9237938 11025926 13856907 16538889 23094845 27564815 27713814 33077778 46189690 55129630 69284535 82694445 138569070 165388890 170901853 341803706 512705559 854509265 1025411118 1709018530 2563527795 5127055590