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6149083950 = 233524554877
BaseRepresentation
bin1011011101000001…
…11001001100101110
3120212112120211102000
411232200321030232
5100043131141300
62454100113130
7305244231312
oct55640711456
916775524360
106149083950
112675aa7869
1212373957a6
1376cc36a19
14424939b42
1525ec85c00
hex16e83932e

6149083950 has 48 divisors (see below), whose sum is σ = 16944146160. Its totient is φ = 1639755360.

The previous prime is 6149083939. The next prime is 6149083951. The reversal of 6149083950 is 593809416.

It is a happy number.

It is a super-2 number, since 2×61490839502 = 75622466848295205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6149083896 and 6149083905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6149083951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2276089 + ... + 2278788.

It is an arithmetic number, because the mean of its divisors is an integer number (353003045).

Almost surely, 26149083950 is an apocalyptic number.

6149083950 is an abundant number, since it is smaller than the sum of its proper divisors (10795062210).

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

6149083950 is a wasteful number, since it uses less digits than its factorization.

6149083950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554898 (or 4554887 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6149083950 is about 78416.0949678062. The cubic root of 6149083950 is about 1832.0478284949.

The spelling of 6149083950 in words is "six billion, one hundred forty-nine million, eighty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 4554877 9109754 13664631 22774385 27329262 40993893 45548770 68323155 81987786 113871925 122981679 136646310 204969465 227743850 245963358 341615775 409938930 614908395 683231550 1024847325 1229816790 2049694650 3074541975 6149083950