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11399348268 = 22337111370773
BaseRepresentation
bin10101001110111010…
…00100000000101100
31002102102212220002000
422213131010000230
5141321213121033
65123051332300
7552325601340
oct124735040054
932372786060
1011399348268
11491a6a9090
122261751090
1310c889b3b9
147a1d45620
1546ab74a13
hex2a774402c

11399348268 has 96 divisors (see below), whose sum is σ = 36846405120. Its totient is φ = 2960867520.

The previous prime is 11399348201. The next prime is 11399348299. The reversal of 11399348268 is 86284399311.

11399348268 is a `hidden beast` number, since 1 + 1 + 39 + 9 + 348 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677071 + ... + 693702.

It is an arithmetic number, because the mean of its divisors is an integer number (383816720).

Almost surely, 211399348268 is an apocalyptic number.

11399348268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11399348268 is an abundant number, since it is smaller than the sum of its proper divisors (25447056852).

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

11399348268 is a wasteful number, since it uses less digits than its factorization.

11399348268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370804 (or 1370796 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

It can be divided in two parts, 113993 and 48268, that added together give a palindrome (162261).

The spelling of 11399348268 in words is "eleven billion, three hundred ninety-nine million, three hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 1370773 2741546 4112319 5483092 8224638 9595411 12336957 15078503 16449276 19190822 24673914 28786233 30157006 37010871 38381644 45235509 49347828 57572466 60314012 74021742 86358699 90471018 105549521 115144932 135706527 148043484 172717398 180942036 211099042 259076097 271413054 316648563 345434796 407119581 422198084 518152194 542826108 633297126 814239162 949945689 1036304388 1266594252 1628478324 1899891378 2849837067 3799782756 5699674134 11399348268