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11007886055040 = 2734571729371663
BaseRepresentation
bin1010000000101111100100…
…1000110101011010000000
31102222100021111122210010000
42200023321020311122000
52420323122312230130
635224541505040000
72214202451431410
oct240137110653200
942870244583100
1011007886055040
113564466780876
12129949a926000
1361b068180304
142a0adaa5c640
15141518b98260
hexa02f9235680

11007886055040 has 2560 divisors, whose sum is σ = 50570525491200. Its totient is φ = 2223292022784.

The previous prime is 11007886055039. The next prime is 11007886055041. The reversal of 11007886055040 is 4055068870011.

11007886055040 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 7 + 88 + 60 + 5 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11007886055039) and next prime (11007886055041).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11007886055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6619293249 + ... + 6619294911.

It is an arithmetic number, because the mean of its divisors is an integer number (19754111520).

Almost surely, 211007886055040 is an apocalyptic number.

11007886055040 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 11007886055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25285262745600).

11007886055040 is an abundant number, since it is smaller than the sum of its proper divisors (39562639436160).

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

11007886055040 is a wasteful number, since it uses less digits than its factorization.

11007886055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11007886055040 in words is "eleven trillion, seven billion, eight hundred eighty-six million, fifty-five thousand, forty".