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11363936867712 = 27331113127331547
BaseRepresentation
bin1010010101011101111101…
…1010111001010110000000
31111020101022022002010001000
42211113133122321112000
52442141320314231322
640100304233412000
72252005643416062
oct245273732712600
944211268063030
1011363936867712
113691467117250
1213364a756a000
136457cb4c8960
142b4035d69732
1514a9070203ac
hexa55df6b9580

11363936867712 has 1024 divisors, whose sum is σ = 39905987788800. Its totient is φ = 3138418483200.

The previous prime is 11363936867683. The next prime is 11363936867737. The reversal of 11363936867712 is 21776863936311.

11363936867712 is a `hidden beast` number, since 1 + 1 + 363 + 93 + 68 + 67 + 71 + 2 = 666.

It is a super-2 number, since 2×113639368677122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11363936867712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20775021423 + ... + 20775021969.

It is an arithmetic number, because the mean of its divisors is an integer number (38970691200).

Almost surely, 211363936867712 is an apocalyptic number.

11363936867712 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 11363936867712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19952993894400).

11363936867712 is an abundant number, since it is smaller than the sum of its proper divisors (28542050921088).

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

11363936867712 is a wasteful number, since it uses less digits than its factorization.

11363936867712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1034 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 11363936867712 in words is "eleven trillion, three hundred sixty-three billion, nine hundred thirty-six million, eight hundred sixty-seven thousand, seven hundred twelve".