Search a number
-
+
2125093950 = 2325271935507
BaseRepresentation
bin111111010101010…
…0101110000111110
312111002201221212100
41332222211300332
513323011001300
6550512045530
7103443000120
oct17652456076
95432657770
102125093950
119a06185a1
124b38338a6
1327b365a55
1416233d210
15c6872700
hex7eaa5c3e

2125093950 has 144 divisors (see below), whose sum is σ = 6868667520. Its totient is φ = 460157760.

The previous prime is 2125093879. The next prime is 2125093951. The reversal of 2125093950 is 593905212.

It is a happy number.

2125093950 is a `hidden beast` number, since 212 + 50 + 9 + 395 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125093951) 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 71 ways as a sum of consecutive naturals, for example, 42097 + ... + 77603.

It is an arithmetic number, because the mean of its divisors is an integer number (47699080).

Almost surely, 22125093950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125093950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434333760).

2125093950 is an abundant number, since it is smaller than the sum of its proper divisors (4743573570).

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

2125093950 is a wasteful number, since it uses less digits than its factorization.

2125093950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35551 (or 35543 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2125093950 is about 46098.7413060270. The cubic root of 2125093950 is about 1285.6597418660.

The spelling of 2125093950 in words is "two billion, one hundred twenty-five million, ninety-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3325 3990 4275 5985 6650 8550 9975 11970 19950 29925 35507 59850 71014 106521 177535 213042 248549 319563 355070 497098 532605 639126 674633 745647 887675 1065210 1242745 1349266 1491294 1597815 1775350 2023899 2236941 2485490 2663025 3195630 3373165 3728235 4047798 4473882 4722431 5326050 6071697 6213725 6746330 7456470 7989075 9444862 10119495 11184705 12143394 12427450 14167293 15978150 16865825 18641175 20238990 22369410 23612155 28334586 30358485 33731650 37282350 42501879 47224310 50597475 55923525 60716970 70836465 85003758 101194950 111847050 118060775 141672930 151792425 212509395 236121550 303584850 354182325 425018790 708364650 1062546975 2125093950