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50241877609 = 72112412712
BaseRepresentation
bin101110110010101001…
…100011011001101001
311210200102221211022211
4232302221203121221
51310343410040414
635025241445121
73426016625200
oct566251433151
9153612854284
1050241877609
111a342259300
1298a1aa07a1
134978bca381
1426088d4237
151490c223c4
hexbb2a63669

50241877609 has 81 divisors (see below), whose sum is σ = 66786328119. Its totient is φ = 37656696000.

The previous prime is 50241877607. The next prime is 50241877643. The reversal of 50241877609 is 90677814205.

The square root of 50241877609 is 224147.

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

It can be written as a sum of positive squares in only one way, i.e., 2420935209 + 47820942400 = 49203^2 + 218680^2 .

It is not a de Polignac number, because 50241877609 - 21 = 50241877607 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (50241877601) 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 80 ways as a sum of consecutive naturals, for example, 707632044 + ... + 707632114.

Almost surely, 250241877609 is an apocalyptic number.

50241877609 is the 224147-th square number.

50241877609 is the 112074-th centered octagonal number.

It is an amenable number.

50241877609 is a deficient number, since it is larger than the sum of its proper divisors (16544450510).

50241877609 is an equidigital number, since it uses as much as digits as its factorization.

50241877609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 50241877609 by its sum of digits (49), we get a square (2461852002841 = 15690292).

50241877609 divided by its sum of digits (49) gives a square (1025344441 = 320212).

The spelling of 50241877609 in words is "fifty billion, two hundred forty-one million, eight hundred seventy-seven thousand, six hundred nine".

Divisors: 1 7 11 41 49 71 77 121 287 451 497 539 781 847 1681 2009 2911 3157 3479 4961 5041 5467 5929 8591 11767 18491 20377 22099 32021 34727 35287 38269 55451 60137 82369 119351 129437 142639 203401 206681 224147 243089 247009 352231 388157 420959 609961 835457 906059 1312861 1423807 1446767 1569029 2273491 2465617 2717099 4269727 5848199 8473921 9190027 9966649 10127369 14441471 15914437 17259319 25008401 29888089 59317447 64330189 93213131 101090297 111401059 175058807 415222129 652491917 707632079 1025344441 1225411649 4567443419 7177411087 50241877609