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11353783896864 = 2532172318991809
BaseRepresentation
bin1010010100111000001001…
…0000011000101100100000
31111012102002201110202100200
42211032002100120230200
52442010022134144424
640051504544145200
72251166230532013
oct245160220305440
944172081422320
1011353783896864
113688127020a52
121334533308200
13644870c0c2b6
142b375178737a
1514a5109e78c9
hexa5382418b20

11353783896864 has 72 divisors (see below), whose sum is σ = 34186577263020. Its totient is φ = 3561971417088.

The previous prime is 11353783896841. The next prime is 11353783896883. The reversal of 11353783896864 is 46869838735311.

It is a happy number.

11353783896864 is a `hidden beast` number, since 1 + 1 + 3 + 537 + 8 + 3 + 8 + 9 + 6 + 86 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11351373872400 + 2410024464 = 3369180^2 + 49092^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11353783896792 and 11353783896801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159491009 + ... + 1159500800.

Almost surely, 211353783896864 is an apocalyptic number.

It is an amenable number.

11353783896864 is an abundant number, since it is smaller than the sum of its proper divisors (22832793366156).

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

11353783896864 is a wasteful number, since it uses less digits than its factorization.

11353783896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318991842 (or 2318991831 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 11353783896864 in words is "eleven trillion, three hundred fifty-three billion, seven hundred eighty-three million, eight hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 2318991809 4637983618 6956975427 9275967236 13913950854 18551934472 20870926281 27827901708 37103868944 39422860753 41741852562 55655803416 74207737888 78845721506 83483705124 111311606832 118268582259 157691443012 166967410248 222623213664 236537164518 315382886024 333934820496 354805746777 473074329036 630765772048 667869640992 709611493554 946148658072 1261531544096 1419222987108 1892297316144 2838445974216 3784594632288 5676891948432 11353783896864