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46194904900 = 2252214932
BaseRepresentation
bin101011000001011011…
…100100111101000100
311102020101212022102201
4223001123210331010
51224101343424100
633115513044244
73223516133014
oct530133447504
9142211768381
1046194904900
1118655901861
128b526b6684
134482640471
142343233c44
1513057be36a
hexac16e4f44

46194904900 has 27 divisors (see below), whose sum is σ = 100247607831. Its totient is φ = 18477102240.

The previous prime is 46194904897. The next prime is 46194904907. The reversal of 46194904900 is 940949164.

The square root of 46194904900 is 214930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15907767876 + 30287137024 = 126126^2 + 174032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46194904907) 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 8 ways as a sum of consecutive naturals, for example, 2138554 + ... + 2160046.

Almost surely, 246194904900 is an apocalyptic number.

46194904900 is the 214930-th square number.

It is an amenable number.

46194904900 is an abundant number, since it is smaller than the sum of its proper divisors (54052702931).

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

46194904900 is an frugal number, since it uses more digits than its factorization.

46194904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43000 (or 21500 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 46194904900 in words is "forty-six billion, one hundred ninety-four million, nine hundred four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21493 42986 85972 107465 214930 429860 537325 1074650 2149300 461949049 923898098 1847796196 2309745245 4619490490 9238980980 11548726225 23097452450 46194904900