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11328947800 = 23524110113679
BaseRepresentation
bin10101000110100001…
…00000011001011000
31002020112102011210021
422203100200121120
5141200202312200
65112054400224
7550512316222
oct124320403130
932215364707
1011328947800
114893994185
122242060074
1310b711c511
1479685b412
154648ba41a
hex2a3420658

11328947800 has 96 divisors (see below), whose sum is σ = 27251380800. Its totient is φ = 4376960000.

The previous prime is 11328947797. The next prime is 11328947807. The reversal of 11328947800 is 874982311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11328947807) 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, 821361 + ... + 835039.

It is an arithmetic number, because the mean of its divisors is an integer number (283868550).

Almost surely, 211328947800 is an apocalyptic number.

11328947800 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 11328947800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625690400).

11328947800 is an abundant number, since it is smaller than the sum of its proper divisors (15922433000).

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

11328947800 is a wasteful number, since it uses less digits than its factorization.

11328947800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13837 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 11328947800 in words is "eleven billion, three hundred twenty-eight million, nine hundred forty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 101 164 200 202 205 328 404 410 505 808 820 1010 1025 1640 2020 2050 2525 4040 4100 4141 5050 8200 8282 10100 13679 16564 20200 20705 27358 33128 41410 54716 68395 82820 103525 109432 136790 165640 207050 273580 341975 414100 547160 560839 683950 828200 1121678 1367900 1381579 2243356 2735800 2763158 2804195 4486712 5526316 5608390 6907895 11052632 11216780 13815790 14020975 22433560 27631580 28041950 34539475 55263160 56083900 56644739 69078950 112167800 113289478 138157900 226578956 276315800 283223695 453157912 566447390 1132894780 1416118475 2265789560 2832236950 5664473900 11328947800