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11051064144 = 2433251101917
BaseRepresentation
bin10100100101011000…
…11101101101010000
31001112011112020002000
422102230131231100
5140113033023034
65024330354000
7540566331621
oct122254355520
931464466060
1011051064144
11476104606a
122184b8b900
131071696213
1476b9a3a48
1544a2c9599
hex292b1db50

11051064144 has 80 divisors (see below), whose sum is σ = 31847336640. Its totient is φ = 3668976000.

The previous prime is 11051064097. The next prime is 11051064151. The reversal of 11051064144 is 44146015011.

11051064144 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 10 + 641 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57474 + ... + 159390.

It is an arithmetic number, because the mean of its divisors is an integer number (398091708).

Almost surely, 211051064144 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 11051064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923668320).

11051064144 is an abundant number, since it is smaller than the sum of its proper divisors (20796272496).

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

11051064144 is a wasteful number, since it uses less digits than its factorization.

11051064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102185 (or 102173 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11051064144 its reverse (44146015011), we get a palindrome (55197079155).

The spelling of 11051064144 in words is "eleven billion, fifty-one million, sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 251 432 502 753 1004 1506 2008 2259 3012 4016 4518 6024 6777 9036 12048 13554 18072 27108 36144 54216 101917 108432 203834 305751 407668 611502 815336 917253 1223004 1630672 1834506 2446008 2751759 3669012 4892016 5503518 7338024 11007036 14676048 22014072 25581167 44028144 51162334 76743501 102324668 153487002 204649336 230230503 306974004 409298672 460461006 613948008 690691509 920922012 1227896016 1381383018 1841844024 2762766036 3683688048 5525532072 11051064144