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2050051050 = 2325215729017
BaseRepresentation
bin111101000110001…
…0100101111101010
312021212112101100200
41322030110233222
513144303113200
6535231413030
7101542101135
oct17214245752
95255471320
102050051050
11962222773
12492684176
1326894ca78
141563a721c
15bee9c800
hex7a314bea

2050051050 has 72 divisors (see below), whose sum is σ = 5543076396. Its totient is φ = 543179520.

The previous prime is 2050051039. The next prime is 2050051117. The reversal of 2050051050 is 501500502.

It can be written as a sum of positive squares in 6 ways, for example, as 262537209 + 1787513841 = 16203^2 + 42279^2 .

It is a super-2 number, since 2×20500510502 = 8405418615212205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 56142 + ... + 85158.

Almost surely, 22050051050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050051050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771538198).

2050051050 is an abundant number, since it is smaller than the sum of its proper divisors (3493025346).

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

2050051050 is a wasteful number, since it uses less digits than its factorization.

2050051050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29192 (or 29184 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 2050051050 is about 45277.4894401180. The cubic root of 2050051050 is about 1270.3446374907.

Adding to 2050051050 its reverse (501500502), we get a palindrome (2551551552).

The spelling of 2050051050 in words is "two billion, fifty million, fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 157 225 314 450 471 785 942 1413 1570 2355 2826 3925 4710 7065 7850 11775 14130 23550 29017 35325 58034 70650 87051 145085 174102 261153 290170 435255 522306 725425 870510 1305765 1450850 2176275 2611530 4352550 4555669 6528825 9111338 13057650 13667007 22778345 27334014 41001021 45556690 68335035 82002042 113891725 136670070 205005105 227783450 341675175 410010210 683350350 1025025525 2050051050