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1386164616831 = 33375572491117
BaseRepresentation
bin10100001010111101110…
…110010111111001111111
311220111221012021111202000
4110022331312113321333
5140202331120214311
62540443434233343
7202101310556661
oct24127566277177
94814835244660
101386164616831
11494961875125
121a4793885853
13a093a444007
144b13ad44531
15260cd6e7056
hex142bdd97e7f

1386164616831 has 32 divisors (see below), whose sum is σ = 2112866642880. Its totient is φ = 897519201408.

The previous prime is 1386164616827. The next prime is 1386164616899.

It is a happy number.

1386164616831 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 16 + 4 + 616 + 8 + 3 + 1 = 666.

1386164616831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1386164616831 - 22 = 1386164616827 is a prime.

It is a super-2 number, since 2×13861646168312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386164614831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689116 + ... + 1802001.

It is an arithmetic number, because the mean of its divisors is an integer number (66027082590).

Almost surely, 21386164616831 is an apocalyptic number.

1386164616831 is a deficient number, since it is larger than the sum of its proper divisors (726702026049).

1386164616831 is a wasteful number, since it uses less digits than its factorization.

1386164616831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491720 (or 2491714 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 1386164616831 in words is "one trillion, three hundred eighty-six billion, one hundred sixty-four million, six hundred sixteen thousand, eight hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 557 999 1671 5013 15039 20609 61827 185481 556443 2491117 7473351 22420053 67260159 92171329 276513987 829541961 1387552169 2488625883 4162656507 12487969521 37463908563 51339430253 154018290759 462054872277 1386164616831