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50198402500 = 225444812
BaseRepresentation
bin101110110000000011…
…101101010111000100
311210120102011001200121
4232300003231113010
51310301242340000
635021045551324
73424651244461
oct566003552704
9153512131617
1050198402500
111a31a764864
12988b415544
13496cbb7b5c
142602c18668
15148bed5b1a
hexbb00ed5c4

50198402500 has 45 divisors (see below), whose sum is σ = 109798369681. Its totient is φ = 20074880000.

The previous prime is 50198402483. The next prime is 50198402503. The reversal of 50198402500 is 520489105.

The square root of 50198402500 is 224050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 24151024836 + 26047377664 = 155406^2 + 161392^2 .

It is a super-2 number, since 2×501984025002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (50198402503) 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 14 ways as a sum of consecutive naturals, for example, 11200260 + ... + 11204740.

Almost surely, 250198402500 is an apocalyptic number.

50198402500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50198402500 is the 224050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50198402500

50198402500 is an abundant number, since it is smaller than the sum of its proper divisors (59599967181).

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

50198402500 is an frugal number, since it uses more digits than its factorization.

50198402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 4488 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

Multiplying 50198402500 by its product of nonzero digits (14400), we get a square (722856996000000 = 268860002).

The spelling of 50198402500 in words is "fifty billion, one hundred ninety-eight million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 4481 8962 17924 22405 44810 89620 112025 224050 448100 560125 1120250 2240500 2800625 5601250 11202500 20079361 40158722 80317444 100396805 200793610 401587220 501984025 1003968050 2007936100 2509920125 5019840250 10039680500 12549600625 25099201250 50198402500