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50213153466 = 23272173329081
BaseRepresentation
bin101110110000111011…
…111110101010111010
311210121102220111012200
4232300323332222322
51310314031402331
635022334051030
73425220522300
oct566073765272
9153542814180
1050213153466
111a32801a443
129894349a76
134972c81038
142604b78270
15148d44b5e6
hexbb0efeaba

50213153466 has 72 divisors (see below), whose sum is σ = 127289575764. Its totient is φ = 14263643520.

The previous prime is 50213153443. The next prime is 50213153489. The reversal of 50213153466 is 66435131205.

50213153466 is a `hidden beast` number, since 50 + 2 + 13 + 1 + 534 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (50213153443) and next prime (50213153489).

It can be written as a sum of positive squares in 2 ways, for example, as 49410621225 + 802532241 = 222285^2 + 28329^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 50213153466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11955 + ... + 317126.

Almost surely, 250213153466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50213153466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63644787882).

50213153466 is an abundant number, since it is smaller than the sum of its proper divisors (77076422298).

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

50213153466 is a wasteful number, since it uses less digits than its factorization.

50213153466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329276 (or 329266 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 50213153466 in words is "fifty billion, two hundred thirteen million, one hundred fifty-three thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 173 294 346 441 519 882 1038 1211 1557 2422 3114 3633 7266 8477 10899 16954 21798 25431 50862 76293 152586 329081 658162 987243 1974486 2303567 2961729 4607134 5923458 6910701 13821402 16124969 20732103 32249938 41464206 48374907 56931013 96749814 113862026 145124721 170793039 290249442 341586078 398517091 512379117 797034182 1024758234 1195551273 2391102546 2789619637 3586653819 5579239274 7173307638 8368858911 16737717822 25106576733 50213153466