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11848027296 = 2537192513697
BaseRepresentation
bin10110000100011001…
…01000110010100000
31010120201011010222210
423002030220302200
5143231043333141
65235400202120
7566414366430
oct130214506240
933521133883
1011848027296
11502a9a22a6
122367a69340
13116a824a51
1480577c2c0
15495251916
hex2c2328ca0

11848027296 has 192 divisors, whose sum is σ = 37574046720. Its totient is φ = 3193344000.

The previous prime is 11848027271. The next prime is 11848027297. The reversal of 11848027296 is 69272084811.

It is a happy number.

It is a super-2 number, since 2×118480272962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11848027297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3202920 + ... + 3206616.

It is an arithmetic number, because the mean of its divisors is an integer number (195698160).

Almost surely, 211848027296 is an apocalyptic number.

11848027296 is a gapful number since it is divisible by the number (16) 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 11848027296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787023360).

11848027296 is an abundant number, since it is smaller than the sum of its proper divisors (25726019424).

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

11848027296 is a wasteful number, since it uses less digits than its factorization.

11848027296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11848027296 in words is "eleven billion, eight hundred forty-eight million, twenty-seven thousand, two hundred ninety-six".