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11364442644324 = 22371136733512753
BaseRepresentation
bin1010010101011111110110…
…0100010001111101100100
31111020102121112210020010010
42211113331210101331210
52442143334304104244
640100430342130220
72252024324432340
oct245277544217544
944212545706103
1011364442644324
1136916a6669750
121336608a20970
1364587c224163
142b40831c6620
1514a936629eb9
hexa55fd911f64

11364442644324 has 96 divisors (see below), whose sum is σ = 33150280052736. Its totient is φ = 2943760135680.

The previous prime is 11364442644311. The next prime is 11364442644353. The reversal of 11364442644324 is 42344624446311.

It is a super-2 number, since 2×113644426443242 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 16417269 + ... + 17095484.

It is an arithmetic number, because the mean of its divisors is an integer number (345315417216).

Almost surely, 211364442644324 is an apocalyptic number.

11364442644324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11364442644324 is an abundant number, since it is smaller than the sum of its proper divisors (21785837408412).

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

11364442644324 is a wasteful number, since it uses less digits than its factorization.

11364442644324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33513145 (or 33513143 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 11364442644324 in words is "eleven trillion, three hundred sixty-four billion, four hundred forty-two million, six hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 367 462 734 924 1101 1468 2202 2569 4037 4404 5138 7707 8074 10276 12111 15414 16148 24222 28259 30828 48444 56518 84777 113036 169554 339108 33512753 67025506 100538259 134051012 201076518 234589271 368640283 402153036 469178542 703767813 737280566 938357084 1105920849 1407535626 1474561132 2211841698 2580481981 2815071252 4423683396 5160963962 7741445943 10321927924 12299180351 15482891886 24598360702 30965783772 36897541053 49196721404 73795082106 86094262457 135290983861 147590164212 172188524914 258282787371 270581967722 344377049828 405872951583 516565574742 541163935444 811745903166 947036887027 1033131149484 1623491806332 1894073774054 2841110661081 3788147548108 5682221322162 11364442644324