Search a number
-
+
11408506880 = 227517
BaseRepresentation
bin10101010000000000…
…00000000000000000
31002110002010012022212
422220000000000000
5141331034210010
65124015521252
7552466465001
oct125000000000
932402105285
1011408506880
114924894091
122264829228
1310ca756cb4
147a324b1a8
1546b883505
hex2a8000000

11408506880 has 112 divisors (see below), whose sum is σ = 28991029140. Its totient is φ = 4294967296.

The previous prime is 11408506873. The next prime is 11408506951. The reversal of 11408506880 is 8860580411.

It can be written as a sum of positive squares in 2 ways, for example, as 11341398016 + 67108864 = 106496^2 + 8192^2 .

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 11408506880 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671088632 + ... + 671088648.

Almost surely, 211408506880 is an apocalyptic number.

11408506880 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 11408506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495514570).

11408506880 is an abundant number, since it is smaller than the sum of its proper divisors (17582522260).

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

11408506880 is an frugal number, since it uses more digits than its factorization.

11408506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 41.

The spelling of 11408506880 in words is "eleven billion, four hundred eight million, five hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 16384 17408 20480 21760 32768 34816 40960 43520 65536 69632 81920 87040 131072 139264 163840 174080 262144 278528 327680 348160 524288 557056 655360 696320 1048576 1114112 1310720 1392640 2097152 2228224 2621440 2785280 4194304 4456448 5242880 5570560 8388608 8912896 10485760 11141120 16777216 17825792 20971520 22282240 33554432 35651584 41943040 44564480 67108864 71303168 83886080 89128960 134217728 142606336 167772160 178257920 285212672 335544320 356515840 570425344 671088640 713031680 1140850688 1426063360 2281701376 2852126720 5704253440 11408506880