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11709992448 = 293471119193
BaseRepresentation
bin10101110011111100…
…00100111000000000
31010020002102020210000
422321332010320000
5142440224224243
65213545440000
7563120202450
oct127176047000
933202366700
1011709992448
114a69a92710
1223297a0000
13114805501b
147d12c9d60
154880875d3
hex2b9f84e00

11709992448 has 800 divisors, whose sum is σ = 46106691840. Its totient is φ = 2866544640.

The previous prime is 11709992443. The next prime is 11709992453. The reversal of 11709992448 is 84429990711.

It is an interprime number because it is at equal distance from previous prime (11709992443) and next prime (11709992453).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11709992394 and 11709992403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11709992443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60673440 + ... + 60673632.

Almost surely, 211709992448 is an apocalyptic number.

11709992448 is a gapful number since it is divisible by the number (18) 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 11709992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23053345920).

11709992448 is an abundant number, since it is smaller than the sum of its proper divisors (34396699392).

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

11709992448 is a wasteful number, since it uses less digits than its factorization.

11709992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11709992448 in words is "eleven billion, seven hundred nine million, nine hundred ninety-two thousand, four hundred forty-eight".