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1363938912 = 25347210739
BaseRepresentation
bin101000101001100…
…0000111001100000
310112001111021110000
41101103000321200
510243132021122
6343201540000
745541201200
oct12123007140
93461437400
101363938912
1163a9a9546
12320944600
13189763a5b
14cd206400
157eb200ac
hex514c0e60

1363938912 has 180 divisors, whose sum is σ = 4666648140. Its totient is φ = 389660544.

The previous prime is 1363938911. The next prime is 1363938929. The reversal of 1363938912 is 2198393631.

1363938912 is a `hidden beast` number, since 1 + 3 + 639 + 3 + 8 + 9 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363938911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 121639 + ... + 132377.

It is an arithmetic number, because the mean of its divisors is an integer number (25925823).

Almost surely, 21363938912 is an apocalyptic number.

1363938912 is a gapful number since it is divisible by the number (12) 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 1363938912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333324070).

1363938912 is an abundant number, since it is smaller than the sum of its proper divisors (3302709228).

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

1363938912 is a wasteful number, since it uses less digits than its factorization.

1363938912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10775 (or 10751 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1363938912 is about 36931.5435908114. The cubic root of 1363938912 is about 1109.0002393185. Note that the first 3 decimals are identical.

The spelling of 1363938912 in words is "one billion, three hundred sixty-three million, nine hundred thirty-eight thousand, nine hundred twelve".