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11343267936 = 2532731121373
BaseRepresentation
bin10101001000001110…
…01000100001100000
31002021112100201022200
422210013020201200
5141212334033221
65113325333200
7551045121000
oct124407104140
932245321280
1011343267936
1148a0a85100
122246a07200
1310ba094580
14798708000
15465c98426
hex2a41c8860

11343267936 has 864 divisors, whose sum is σ = 45139348800. Its totient is φ = 2682408960.

The previous prime is 11343267931. The next prime is 11343267941. The reversal of 11343267936 is 63976234311.

11343267936 is a `hidden beast` number, since 11 + 343 + 267 + 9 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (11343267931) and next prime (11343267941).

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

It is a junction number, because it is equal to n+sod(n) for n = 11343267891 and 11343267900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343267931) 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 143 ways as a sum of consecutive naturals, for example, 155387196 + ... + 155387268.

Almost surely, 211343267936 is an apocalyptic number.

11343267936 is a gapful number since it is divisible by the number (16) 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 11343267936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22569674400).

11343267936 is an abundant number, since it is smaller than the sum of its proper divisors (33796080864).

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

11343267936 is a wasteful number, since it uses less digits than its factorization.

11343267936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 11343267936 in words is "eleven billion, three hundred forty-three million, two hundred sixty-seven thousand, nine hundred thirty-six".