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11166353064 = 2333461112139
BaseRepresentation
bin10100110011001000…
…10000011010101000
31001211012110111202000
422121210100122220
5140332041244224
65044005411000
7543466302126
oct123144203250
931735414660
1011166353064
11481012a369
1221b7709a60
13108c530a09
1477d014916
1545549e0c9
hex2999106a8

11166353064 has 64 divisors (see below), whose sum is σ = 31085208000. Its totient is φ = 3714010560.

The previous prime is 11166353063. The next prime is 11166353137. The reversal of 11166353064 is 46035366111.

11166353064 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 63 + 530 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11166353063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43507 + ... + 155645.

It is an arithmetic number, because the mean of its divisors is an integer number (485706375).

Almost surely, 211166353064 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 11166353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15542604000).

11166353064 is an abundant number, since it is smaller than the sum of its proper divisors (19918854936).

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

11166353064 is a wasteful number, since it uses less digits than its factorization.

11166353064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112615 (or 112605 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 11166353064 in words is "eleven billion, one hundred sixty-six million, three hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 461 922 1383 1844 2766 3688 4149 5532 8298 11064 12447 16596 24894 33192 49788 99576 112139 224278 336417 448556 672834 897112 1009251 1345668 2018502 2691336 3027753 4037004 6055506 8074008 12111012 24222024 51696079 103392158 155088237 206784316 310176474 413568632 465264711 620352948 930529422 1240705896 1395794133 1861058844 2791588266 3722117688 5583176532 11166353064