Search a number
-
+
11474389760 = 28553792141
BaseRepresentation
bin10101010111110110…
…10100101100000000
31002121200002101122112
422223323110230000
5141444420433020
65134331554452
7554226463241
oct125373245400
932550071575
1011474389760
114958aa2949
1222828bba28
13110b2b3852
147abcbacc8
154725492c5
hex2abed4b00

11474389760 has 144 divisors (see below), whose sum is σ = 28371047040. Its totient is φ = 4444078080.

The previous prime is 11474389673. The next prime is 11474389763. The reversal of 11474389760 is 6798347411.

It is a junction number, because it is equal to n+sod(n) for n = 11474389699 and 11474389708.

It is not an unprimeable number, because it can be changed into a prime (11474389763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5358290 + ... + 5360430.

It is an arithmetic number, because the mean of its divisors is an integer number (197021160).

Almost surely, 211474389760 is an apocalyptic number.

11474389760 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 11474389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185523520).

11474389760 is an abundant number, since it is smaller than the sum of its proper divisors (16896657280).

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

11474389760 is an equidigital number, since it uses as much as digits as its factorization.

11474389760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 11474389760 in words is "eleven billion, four hundred seventy-four million, three hundred eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 79 80 106 128 158 160 212 256 265 316 320 395 424 530 632 640 790 848 1060 1264 1280 1580 1696 2120 2141 2528 3160 3392 4187 4240 4282 5056 6320 6784 8374 8480 8564 10112 10705 12640 13568 16748 16960 17128 20224 20935 21410 25280 33496 33920 34256 41870 42820 50560 66992 67840 68512 83740 85640 101120 113473 133984 137024 167480 169139 171280 226946 267968 274048 334960 338278 342560 453892 535936 548096 567365 669920 676556 685120 845695 907784 1071872 1134730 1339840 1353112 1370240 1691390 1815568 2269460 2679680 2706224 2740480 3382780 3631136 4538920 5359360 5412448 6765560 7262272 8964367 9077840 10824896 13531120 14524544 17928734 18155680 21649792 27062240 29049088 35857468 36311360 43299584 44821835 54124480 71714936 72622720 89643670 108248960 143429872 145245440 179287340 216497920 286859744 358574680 573719488 717149360 1147438976 1434298720 2294877952 2868597440 5737194880 11474389760