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5149000950 = 2352195633209
BaseRepresentation
bin1001100101110011…
…11000010011110110
3111021211202100102220
410302321320103312
541021121012300
62210532543210
7241411533402
oct46271702366
914254670386
105149000950
112202527695
12bb8481b06
1364099ab32
1436bbaa102
15202089da0
hex132e784f6

5149000950 has 96 divisors (see below), whose sum is σ = 13469673600. Its totient is φ = 1298085120.

The previous prime is 5149000921. The next prime is 5149000957. The reversal of 5149000950 is 590009415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5149000957) 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, 1602946 + ... + 1606154.

It is an arithmetic number, because the mean of its divisors is an integer number (140309100).

Almost surely, 25149000950 is an apocalyptic number.

5149000950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5149000950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734836800).

5149000950 is an abundant number, since it is smaller than the sum of its proper divisors (8320672650).

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

5149000950 is a wasteful number, since it uses less digits than its factorization.

5149000950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 5149000950 is about 71756.5394232470. The cubic root of 5149000950 is about 1726.7958277502.

The spelling of 5149000950 in words is "five billion, one hundred forty-nine million, nine hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 563 570 950 1126 1425 1689 2815 2850 3209 3378 5630 6418 8445 9627 10697 14075 16045 16890 19254 21394 28150 32090 32091 42225 48135 53485 60971 64182 80225 84450 96270 106970 121942 160450 160455 182913 240675 267425 304855 320910 365826 481350 534850 609710 802275 914565 1524275 1604550 1806667 1829130 3048550 3613334 4572825 5420001 9033335 9145650 10840002 18066670 27100005 34326673 45166675 54200010 68653346 90333350 102980019 135500025 171633365 205960038 271000050 343266730 514900095 858166825 1029800190 1716333650 2574500475 5149000950