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11324976000 = 273531318149
BaseRepresentation
bin10101000110000010…
…10110101110000000
31002020020221101111120
422203001112232000
5141143143213000
65111433312240
7550433464512
oct124301265600
932206841446
1011324976000
1148917210a8
122240865680
1310b635b740
14796105bb2
154643836a0
hex2a3056b80

11324976000 has 256 divisors, whose sum is σ = 40432392000. Its totient is φ = 2787532800.

The previous prime is 11324975927. The next prime is 11324976023. The reversal of 11324976000 is 67942311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614926 + ... + 633074.

Almost surely, 211324976000 is an apocalyptic number.

11324976000 is a gapful number since it is divisible by the number (10) 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 11324976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216196000).

11324976000 is an abundant number, since it is smaller than the sum of its proper divisors (29107416000).

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

11324976000 is a wasteful number, since it uses less digits than its factorization.

11324976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18172 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 11324976000 in words is "eleven billion, three hundred twenty-four million, nine hundred seventy-six thousand".