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50669559801 = 38723972
BaseRepresentation
bin101111001100001001…
…000001111111111001
311211210020201100000000
4233030021001333321
51312232401403201
635135520303213
73442432103100
oct571411017771
9154706640000
1050669559801
111a541711263
1299a1171b09
134a166b1963
142649623037
1514b8552d86
hexbcc241ff9

50669559801 has 81 divisors (see below), whose sum is σ = 88631972559. Its totient is φ = 28881102096.

The previous prime is 50669559793. The next prime is 50669559881. The reversal of 50669559801 is 10895596605.

The square root of 50669559801 is 225099.

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

50669559801 is a `hidden beast` number, since 5 + 0 + 6 + 6 + 9 + 559 + 80 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33957275625 + 16712284176 = 184275^2 + 129276^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 50669559801 - 23 = 50669559793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (50669559881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 127630935 + ... + 127631331.

Almost surely, 250669559801 is an apocalyptic number.

50669559801 is the 225099-th square number.

50669559801 is the 112550-th centered octagonal number.

It is an amenable number.

50669559801 is a deficient number, since it is larger than the sum of its proper divisors (37962412758).

50669559801 is an frugal number, since it uses more digits than its factorization.

50669559801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 50669559801 in words is "fifty billion, six hundred sixty-nine million, five hundred fifty-nine thousand, eight hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 397 441 567 729 1191 1323 1701 2187 2779 3573 3969 5103 6561 8337 10719 11907 15309 19453 25011 32157 35721 45927 58359 75033 96471 107163 157609 175077 225099 289413 321489 472827 525231 675297 868239 1103263 1418481 1575693 2025891 2604717 3309789 4255443 4727079 6077673 7722841 9929367 12766329 14181237 18233019 23168523 29788101 38298987 42543711 69505569 89364303 114896961 127631133 208516707 268092909 344690883 625550121 804278727 1034072649 1876650363 2412836181 5629951089 7238508543 16889853267 50669559801