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5093144190 = 2335472711481
BaseRepresentation
bin1001011111001001…
…10011011001111110
3111010221122112101000
410233210303121332
540412321103230
62201215431130
7240133003611
oct45744633176
914127575330
105093144190
112183a46682
12ba18254a6
136322419b4
143645ca178
151ec204b60
hex12f93367e

5093144190 has 128 divisors (see below), whose sum is σ = 13931274240. Its totient is φ = 1323475200.

The previous prime is 5093144131. The next prime is 5093144207. The reversal of 5093144190 is 914413905.

It is a happy number.

5093144190 is a `hidden beast` number, since 509 + 3 + 144 + 1 + 9 + 0 = 666.

It is a super-2 number, since 2×50931441902 = 51880235480261512200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3438250 + ... + 3439730.

It is an arithmetic number, because the mean of its divisors is an integer number (108838080).

Almost surely, 25093144190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5093144190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965637120).

5093144190 is an abundant number, since it is smaller than the sum of its proper divisors (8838130050).

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

5093144190 is a wasteful number, since it uses less digits than its factorization.

5093144190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5093144190 is about 71366.2678721537. The cubic root of 5093144190 is about 1720.5289735462.

The spelling of 5093144190 in words is "five billion, ninety-three million, one hundred forty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 271 282 423 470 542 705 813 846 1269 1355 1410 1481 1626 2115 2439 2538 2710 2962 4065 4230 4443 4878 6345 7317 7405 8130 8886 12195 12690 12737 13329 14634 14810 22215 24390 25474 26658 36585 38211 39987 44430 63685 66645 69607 73170 76422 79974 114633 127370 133290 139214 191055 199935 208821 229266 343899 348035 382110 399870 401351 417642 573165 626463 687798 696070 802702 1044105 1146330 1204053 1252926 1719495 1879389 2006755 2088210 2408106 3132315 3438990 3612159 3758778 4013510 6020265 6264630 7224318 9396945 10836477 12040530 18060795 18793890 18863497 21672954 36121590 37726994 54182385 56590491 94317485 108364770 113180982 169771473 188634970 282952455 339542946 509314419 565904910 848857365 1018628838 1697714730 2546572095 5093144190