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11848382968224 = 2531111220059629
BaseRepresentation
bin1010110001101010101010…
…1010000111000110100000
31112221200202011212212100010
42230122222222013012200
53023110442014440344
641111023314524520
72332005655343625
oct254325252070640
945850664785303
1011848382968224
113858964331860
1213b4367596740
1367c3b41232ba
142cd67158234c
1515830c3ca8b9
hexac6aaa871a0

11848382968224 has 48 divisors (see below), whose sum is σ = 33929460321120. Its totient is φ = 3590419080960.

The previous prime is 11848382968223. The next prime is 11848382968249. The reversal of 11848382968224 is 42286928384811.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (11848382968223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5610028759 + ... + 5610030870.

It is an arithmetic number, because the mean of its divisors is an integer number (706863756690).

Almost surely, 211848382968224 is an apocalyptic number.

It is an amenable number.

11848382968224 is an abundant number, since it is smaller than the sum of its proper divisors (22081077352896).

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

11848382968224 is a wasteful number, since it uses less digits than its factorization.

11848382968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11220059653 (or 11220059645 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 66.

The spelling of 11848382968224 in words is "eleven trillion, eight hundred forty-eight billion, three hundred eighty-two million, nine hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 11220059629 22440119258 33660178887 44880238516 67320357774 89760477032 123420655919 134640715548 179520954064 246841311838 269281431096 359041908128 370261967757 493682623676 538562862192 740523935514 987365247352 1077125724384 1481047871028 1974730494704 2962095742056 3949460989408 5924191484112 11848382968224