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11979707079648 = 2537211172801103
BaseRepresentation
bin1010111001010011111000…
…1011110101101111100000
31120102020201101100221100210
42232110332023311233200
53032233420003022043
641251222414214120
72344335211023300
oct256247613655740
946366641327323
1011979707079648
1138a9624377450
1214158b77b4340
1368b8b24256c9
142d5b6c847600
1515b9465e3633
hexae53e2f5be0

11979707079648 has 432 divisors, whose sum is σ = 42392001141504. Its totient is φ = 2928572559360.

The previous prime is 11979707079647. The next prime is 11979707079653. The reversal of 11979707079648 is 84697070797911.

It is a self number, because there is not a number n which added to its sum of digits gives 11979707079648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11979707079647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14553465 + ... + 15354567.

It is an arithmetic number, because the mean of its divisors is an integer number (98129632272).

Almost surely, 211979707079648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11979707079648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21196000570752).

11979707079648 is an abundant number, since it is smaller than the sum of its proper divisors (30412294061856).

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

11979707079648 is a wasteful number, since it uses less digits than its factorization.

11979707079648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801175 (or 801143 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 75.

The spelling of 11979707079648 in words is "eleven trillion, nine hundred seventy-nine billion, seven hundred seven million, seventy-nine thousand, six hundred forty-eight".