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11049709934592 = 211311719229
BaseRepresentation
bin1010000011001011011000…
…0010010001100000000000
31110010100020021200000000000
42200302312002101200000
52422014301220401332
635300100000000000
72220213053514330
oct240626602214000
943110207600000
1011049709934592
11358017921358a
1212a5611600000
13621ca2063b34
142a2b4755b0c0
15142665853b7c
hexa0cb6091800

11049709934592 has 1152 divisors, whose sum is σ = 40042941120000. Its totient is φ = 2977838235648.

The previous prime is 11049709934581. The next prime is 11049709934609. The reversal of 11049709934592 is 29543990794011.

11049709934592 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 7 + 0 + 9 + 9 + 34 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×110497099345922 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48252008334 + ... + 48252008562.

It is an arithmetic number, because the mean of its divisors is an integer number (34759497500).

Almost surely, 211049709934592 is an apocalyptic number.

11049709934592 is a gapful number since it is divisible by the number (12) 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 11049709934592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021470560000).

11049709934592 is an abundant number, since it is smaller than the sum of its proper divisors (28993231185408).

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

11049709934592 is an frugal number, since it uses more digits than its factorization.

11049709934592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 11049709934592 in words is "eleven trillion, forty-nine billion, seven hundred nine million, nine hundred thirty-four thousand, five hundred ninety-two".