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1983629449269 = 321337927749393
BaseRepresentation
bin11100110111011001100…
…001110101100000110101
321000122002112202201010100
4130313121201311200311
5224444433114334034
64115133343144313
7263212121055636
oct34673141654065
97018075681110
101983629449269
116a5286124816
122805355a5099
13115094aaac70
146c01862188d
15368eabde099
hex1cdd9875835

1983629449269 has 48 divisors (see below), whose sum is σ = 3169447411312. Its totient is φ = 1187551217664.

The previous prime is 1983629449261. The next prime is 1983629449271. The reversal of 1983629449269 is 9629449263891.

1983629449269 is a `hidden beast` number, since 1 + 9 + 8 + 36 + 294 + 49 + 269 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 273126438225 + 1710503011044 = 522615^2 + 1307862^2 .

It is not a de Polignac number, because 1983629449269 - 23 = 1983629449261 is a prime.

It is a super-2 number, since 2×19836294492692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1983629449197 and 1983629449206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983629449261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40135437 + ... + 40184829.

Almost surely, 21983629449269 is an apocalyptic number.

It is an amenable number.

1983629449269 is a deficient number, since it is larger than the sum of its proper divisors (1185817962043).

1983629449269 is a wasteful number, since it uses less digits than its factorization.

1983629449269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58726 (or 58723 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 1983629449269 in words is "one trillion, nine hundred eighty-three billion, six hundred twenty-nine million, four hundred forty-nine thousand, two hundred sixty-nine".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 9277 27831 49393 83493 120601 148179 343249 361803 444537 642109 1029747 1085409 1827541 1926327 3089241 4462237 5482623 5778981 13386711 16447869 23758033 40160133 71274099 213822297 458218861 1374656583 4123969749 5956845193 16954097857 17870535579 50862293571 53611606737 152586880713 220403272141 661209816423 1983629449269