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1050384067821 = 34111318999101
BaseRepresentation
bin11110100100011111100…
…01001110110011101101
310201102020001221021010000
433102033301032303231
5114202141310132241
62122312331534513
7135613332156024
oct17221761166355
93642201837100
101050384067821
11375513471870
1214b6a35ba439
137808778c11a
1438ba5b918bb
151c4c9bc3eb6
hexf48fc4eced

1050384067821 has 40 divisors (see below), whose sum is σ = 1724803885728. Its totient is φ = 631736820000.

The previous prime is 1050384067783. The next prime is 1050384067903. The reversal of 1050384067821 is 1287604830501.

1050384067821 is a `hidden beast` number, since 1 + 0 + 503 + 8 + 4 + 0 + 67 + 82 + 1 = 666.

It is not a de Polignac number, because 1050384067821 - 27 = 1050384067693 is a prime.

It is a super-5 number, since 5×10503840678215 (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050384067321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4382830 + ... + 4616271.

Almost surely, 21050384067821 is an apocalyptic number.

1050384067821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1050384067821 is a deficient number, since it is larger than the sum of its proper divisors (674419817907).

1050384067821 is a wasteful number, since it uses less digits than its factorization.

1050384067821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8999255 (or 8999246 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1050384067821 in words is "one trillion, fifty billion, three hundred eighty-four million, sixty-seven thousand, eight hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 131 297 393 891 1179 1441 3537 4323 10611 12969 38907 116721 8999101 26997303 80991909 98990111 242975727 296970333 728927181 890910999 1178882231 2672732997 3536646693 8018198991 10609940079 12967704541 31829820237 38903113623 95489460711 116709340869 350128022607 1050384067821