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1950085215 = 3251317196087
BaseRepresentation
bin111010000111011…
…1111000001011111
312000220102121000100
41310032333001133
512443210211330
6521301032143
766216310431
oct16416770137
95026377010
101950085215
11910854981
124650b5653
1325101b9a0
14146dc4651
15b6303060
hex743bf05f

1950085215 has 48 divisors (see below), whose sum is σ = 3854305728. Its totient is φ = 903564288.

The previous prime is 1950085201. The next prime is 1950085261. The reversal of 1950085215 is 5125800591.

It is a happy number.

It is not a de Polignac number, because 1950085215 - 217 = 1949954143 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1950085215.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 88099 + ... + 107988.

It is an arithmetic number, because the mean of its divisors is an integer number (80298036).

Almost surely, 21950085215 is an apocalyptic number.

1950085215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1950085215 is a deficient number, since it is larger than the sum of its proper divisors (1904220513).

1950085215 is a wasteful number, since it uses less digits than its factorization.

1950085215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196128 (or 196125 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The square root of 1950085215 is about 44159.7691909729. The cubic root of 1950085215 is about 1249.3511758133.

The spelling of 1950085215 in words is "one billion, nine hundred fifty million, eighty-five thousand, two hundred fifteen".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1989 3315 9945 196087 588261 980435 1764783 2549131 2941305 3333479 7647393 8823915 10000437 12745655 16667395 22942179 30001311 38236965 43335227 50002185 114710895 130005681 150006555 216676135 390017043 650028405 1950085215