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11072977344 = 263511132383
BaseRepresentation
bin10100101000000000…
…00011100111000000
31001120200202112100000
422110000003213000
5140134140233334
65030432200000
7541253516532
oct122400034700
931520675300
1011072977344
114772452850
122190399000
131076099400
14770869852
1544c1a7299
hex2940039c0

11072977344 has 504 divisors, whose sum is σ = 38982408192. Its totient is φ = 3089249280.

The previous prime is 11072977303. The next prime is 11072977367. The reversal of 11072977344 is 44377927011.

11072977344 is a `hidden beast` number, since 1 + 10 + 7 + 297 + 7 + 344 = 666.

It is a super-2 number, since 2×110729773442 (a number of 21 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 11072977344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28910977 + ... + 28911359.

It is an arithmetic number, because the mean of its divisors is an integer number (77346048).

Almost surely, 211072977344 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 11072977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19491204096).

11072977344 is an abundant number, since it is smaller than the sum of its proper divisors (27909430848).

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

11072977344 is a wasteful number, since it uses less digits than its factorization.

11072977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 11072977344 in words is "eleven billion, seventy-two million, nine hundred seventy-seven thousand, three hundred forty-four".