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11463680000 = 213542239
BaseRepresentation
bin10101010110100100…
…11110000000000000
31002120220221021121202
422223102132000000
5141434200230000
65133310240332
7554036446403
oct125322360000
932526837552
1011463680000
114952a48503
12227b1b60a8
131109003c06
147aa6cdd3a
15471630dd5
hex2ab49e000

11463680000 has 140 divisors (see below), whose sum is σ = 28661075520. Its totient is φ = 4583424000.

The previous prime is 11463679979. The next prime is 11463680003. The reversal of 11463680000 is 8636411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11463680003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5118881 + ... + 5121119.

It is an arithmetic number, because the mean of its divisors is an integer number (204721968).

Almost surely, 211463680000 is an apocalyptic number.

11463680000 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 11463680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330537760).

11463680000 is an abundant number, since it is smaller than the sum of its proper divisors (17197395520).

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

11463680000 is an frugal number, since it uses more digits than its factorization.

11463680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 11463680000 in words is "eleven billion, four hundred sixty-three million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2239 2500 2560 3200 4000 4096 4478 5000 5120 6400 8000 8192 8956 10000 10240 11195 12800 16000 17912 20000 20480 22390 25600 32000 35824 40000 40960 44780 51200 55975 64000 71648 80000 89560 102400 111950 128000 143296 160000 179120 204800 223900 256000 279875 286592 320000 358240 447800 512000 559750 573184 640000 716480 895600 1024000 1119500 1146368 1280000 1399375 1432960 1791200 2239000 2292736 2560000 2798750 2865920 3582400 4478000 4585472 5120000 5597500 5731840 7164800 8956000 9170944 11195000 11463680 14329600 17912000 18341888 22390000 22927360 28659200 35824000 44780000 45854720 57318400 71648000 89560000 91709440 114636800 143296000 179120000 229273600 286592000 358240000 458547200 573184000 716480000 1146368000 1432960000 2292736000 2865920000 5731840000 11463680000