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50043834005 = 51121015091609
BaseRepresentation
bin101110100110110110…
…000100111010010101
311210011122022011120112
4232212312010322111
51304442210142010
634553445012405
73421063366454
oct564666047225
9153148264515
1050043834005
111a250492200
1298476b4105
134946b796c9
1425ca4a0b9b
15147d652a05
hexba6d84e95

50043834005 has 48 divisors (see below), whose sum is σ = 66834255600. Its totient is φ = 35942016000.

The previous prime is 50043833993. The next prime is 50043834007.

50043834005 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 21220622929 + 28823211076 = 145673^2 + 169774^2 .

It is not a de Polignac number, because 50043834005 - 24 = 50043833989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50043834007) by changing a digit.

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, 31101641 + ... + 31103249.

It is an arithmetic number, because the mean of its divisors is an integer number (1392380325).

Almost surely, 250043834005 is an apocalyptic number.

50043834005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

50043834005 is a deficient number, since it is larger than the sum of its proper divisors (16790421595).

50043834005 is a wasteful number, since it uses less digits than its factorization.

50043834005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 50043834005 in words is "fifty billion, forty-three million, eight hundred thirty-four thousand, five".

Divisors: 1 5 11 55 101 121 505 509 605 1111 1609 2545 5555 5599 8045 12221 17699 27995 51409 61105 61589 88495 162509 194689 257045 307945 565499 812545 818981 973445 1787599 2827495 4094905 6220489 8937995 9008791 19663589 31102445 45043955 82717081 98317945 99096701 413585405 495483505 909887891 4549439455 10008766801 50043834005