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163644446361 = 31121117403591
BaseRepresentation
bin1001100001100111111…
…0000001011010011001
3120122101122220012112210
42120121332001122121
510140120434240421
6203102140225333
714552155562154
oct2303176013231
9518348805483
10163644446361
1163446029700
122787023b249
131257c30c366
147cc5952c9b
1543cb8cd576
hex2619f81699

163644446361 has 24 divisors (see below), whose sum is σ = 240046835392. Its totient is φ = 99089416800.

The previous prime is 163644446323. The next prime is 163644446389.

163644446361 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-163644446361 is a prime.

It is a super-2 number, since 2×1636444463612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 163644446361.

It is not an unprimeable number, because it can be changed into a prime (163644446561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203676 + ... + 607266.

Almost surely, 2163644446361 is an apocalyptic number.

163644446361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

163644446361 is a deficient number, since it is larger than the sum of its proper divisors (76402389031).

163644446361 is a wasteful number, since it uses less digits than its factorization.

163644446361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404733 (or 404722 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 163644446361 in words is "one hundred sixty-three billion, six hundred forty-four million, four hundred forty-six thousand, three hundred sixty-one".

Divisors: 1 3 11 33 121 363 1117 3351 12287 36861 135157 403591 405471 1210773 4439501 13318503 48834511 146503533 450811147 1352433441 4958922617 14876767851 54548148787 163644446361