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5055124140 = 223551194559
BaseRepresentation
bin1001011010100111…
…10001001010101100
3111001022002220200000
410231103301022230
540323102433030
62153340504300
7236161563153
oct45523611254
914038086600
105055124140
112164538650
12b90b4b090
136273bc421
1435d53059a
151e8be4860
hex12d4f12ac

5055124140 has 144 divisors (see below), whose sum is σ = 17347599360. Its totient is φ = 1225471680.

The previous prime is 5055124111. The next prime is 5055124147. The reversal of 5055124140 is 414215505.

5055124140 is a `hidden beast` number, since 5 + 0 + 5 + 512 + 4 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5055124147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6181 + ... + 100739.

It is an arithmetic number, because the mean of its divisors is an integer number (120469440).

Almost surely, 25055124140 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 5055124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673799680).

5055124140 is an abundant number, since it is smaller than the sum of its proper divisors (12292475220).

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

5055124140 is a wasteful number, since it uses less digits than its factorization.

5055124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94594 (or 94580 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5055124140 is about 71099.3961999678. The cubic root of 5055124140 is about 1716.2370570834.

Adding to 5055124140 its reverse (414215505), we get a palindrome (5469339645).

It can be divided in two parts, 50551 and 24140, that added together give a triangular number (74691 = T386).

The spelling of 5055124140 in words is "five billion, fifty-five million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 53460 94559 189118 283677 378236 472795 567354 851031 945590 1040149 1134708 1418385 1702062 1891180 2080298 2553093 2836770 3120447 3404124 4160596 4255155 5106186 5200745 5673540 6240894 7659279 8510310 9361341 10212372 10401490 12481788 12765465 15318558 15602235 17020620 18722682 20802980 22977837 25530930 28084023 30637116 31204470 37445364 38296395 45955674 46806705 51061860 56168046 62408940 76592790 84252069 91911348 93613410 112336092 114889185 140420115 153185580 168504138 187226820 229778370 252756207 280840230 337008276 421260345 459556740 505512414 561680460 842520690 1011024828 1263781035 1685041380 2527562070 5055124140