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1363386168 = 233413116061
BaseRepresentation
bin101000101000011…
…1001111100111000
310112000110012020000
41101100321330320
510243011324133
6343142033000
745533406534
oct12120717470
93460405200
101363386168
1163a661231
12320718760
131895cc2a1
14cd100bc4
157ea61413
hex51439f38

1363386168 has 80 divisors (see below), whose sum is σ = 3848133960. Its totient is φ = 450964800.

The previous prime is 1363386139. The next prime is 1363386181. The reversal of 1363386168 is 8616833631.

1363386168 is a `hidden beast` number, since 1 + 3 + 633 + 8 + 6 + 1 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76858 + ... + 92918.

Almost surely, 21363386168 is an apocalyptic number.

1363386168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363386168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924066980).

1363386168 is an abundant number, since it is smaller than the sum of its proper divisors (2484747792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1363386168 is a wasteful number, since it uses less digits than its factorization.

1363386168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16210 (or 16197 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 1363386168 is about 36924.0594734653. The cubic root of 1363386168 is about 1108.8504095258.

The spelling of 1363386168 in words is "one billion, three hundred sixty-three million, three hundred eighty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 648 786 1048 1179 1572 2358 3144 3537 4716 7074 9432 10611 14148 16061 21222 28296 32122 42444 48183 64244 84888 96366 128488 144549 192732 289098 385464 433647 578196 867294 1156392 1300941 1734588 2103991 2601882 3469176 4207982 5203764 6311973 8415964 10407528 12623946 16831928 18935919 25247892 37871838 50495784 56807757 75743676 113615514 151487352 170423271 227231028 340846542 454462056 681693084 1363386168