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11048143680 = 263257279991
BaseRepresentation
bin10100100101000010…
…10100101101000000
31001111222000211221200
422102201110231000
5140111311044210
65024144021200
7540532446300
oct122241245500
931458024850
1011048143680
11475a430962
122184001800
131070bb2b32
1476b443600
15449dee0c0
hex292854b40

11048143680 has 504 divisors, whose sum is σ = 44809989120. Its totient is φ = 2490808320.

The previous prime is 11048143607. The next prime is 11048143697. The reversal of 11048143680 is 8634184011.

It is a happy number.

11048143680 is a `hidden beast` number, since 110 + 481 + 4 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×110481436802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11147985 + ... + 11148975.

Almost surely, 211048143680 is an apocalyptic number.

11048143680 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 11048143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22404994560).

11048143680 is an abundant number, since it is smaller than the sum of its proper divisors (33761845440).

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

11048143680 is a wasteful number, since it uses less digits than its factorization.

11048143680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11048143680 in words is "eleven billion, forty-eight million, one hundred forty-three thousand, six hundred eighty".