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11552163335136 = 253240111678247
BaseRepresentation
bin1010100000011011001010…
…0101111000101111100000
31111220101011010101101002100
42220012302211320233200
53003232312303211021
640322553544050400
72301421243120164
oct250066245705740
944811133341070
1011552163335136
113754277047136
121366a78163a00
1365a4975766b8
142bd1b0540ca4
15150771a5a626
hexa81b2978be0

11552163335136 has 36 divisors (see below), whose sum is σ = 32851464485112. Its totient is φ = 3850721111616.

The previous prime is 11552163335059. The next prime is 11552163335143. The reversal of 11552163335136 is 63153336125511.

11552163335136 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 2 + 1 + 633 + 3 + 5 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11552163335091 and 11552163335100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20055838836 + ... + 20055839411.

It is an arithmetic number, because the mean of its divisors is an integer number (912540680142).

Almost surely, 211552163335136 is an apocalyptic number.

11552163335136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11552163335136 is an abundant number, since it is smaller than the sum of its proper divisors (21299301149976).

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

11552163335136 is a wasteful number, since it uses less digits than its factorization.

11552163335136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40111678263 (or 40111678252 counting only the distinct ones).

The product of its digits is 729000, while the sum is 45.

The spelling of 11552163335136 in words is "eleven trillion, five hundred fifty-two billion, one hundred sixty-three million, three hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40111678247 80223356494 120335034741 160446712988 240670069482 320893425976 361005104223 481340138964 641786851952 722010208446 962680277928 1283573703904 1444020416892 1925360555856 2888040833784 3850721111712 5776081667568 11552163335136