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2111368064 = 27132395309
BaseRepresentation
bin111110111011000…
…1110101110000000
312110010220121111012
41331312032232000
513311002234224
6545301540052
7103215222011
oct17566165600
95403817435
102111368064
119938a3093
124ab114628
1327856b320
141605a9008
15c556080e
hex7dd8eb80

2111368064 has 64 divisors (see below), whose sum is σ = 4549608000. Its totient is φ = 970217472.

The previous prime is 2111368043. The next prime is 2111368073. The reversal of 2111368064 is 4608631112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2111368064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395042 + ... + 400350.

It is an arithmetic number, because the mean of its divisors is an integer number (71087625).

Almost surely, 22111368064 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 2111368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274804000).

2111368064 is an abundant number, since it is smaller than the sum of its proper divisors (2438239936).

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

2111368064 is a wasteful number, since it uses less digits than its factorization.

2111368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2111368064 is about 45949.6252868291. The cubic root of 2111368064 is about 1282.8857548133.

Adding to 2111368064 its reverse (4608631112), we get a palindrome (6719999176).

The spelling of 2111368064 in words is "two billion, one hundred eleven million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 239 416 478 832 956 1664 1912 3107 3824 5309 6214 7648 10618 12428 15296 21236 24856 30592 42472 49712 69017 84944 99424 138034 169888 198848 276068 339776 397696 552136 679552 1104272 1268851 2208544 2537702 4417088 5075404 8834176 10150808 16495063 20301616 32990126 40603232 65980252 81206464 131960504 162412928 263921008 527842016 1055684032 2111368064