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11306170064 = 24714924547
BaseRepresentation
bin10101000011110011…
…00111011011010000
31002011221112221121102
422201321213123100
5141123334420224
65105522243532
7550114600640
oct124171473320
932157487542
1011306170064
114882046a02
1222364b65a8
1310b24a5977
1479380c520
154628bb4ae
hex2a1e676d0

11306170064 has 60 divisors (see below), whose sum is σ = 25209782304. Its totient is φ = 4811922816.

The previous prime is 11306170061. The next prime is 11306170097. The reversal of 11306170064 is 46007160311.

11306170064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11306170061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2484239 + ... + 2488785.

Almost surely, 211306170064 is an apocalyptic number.

11306170064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306170064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604891152).

11306170064 is an abundant number, since it is smaller than the sum of its proper divisors (13903612240).

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

11306170064 is an equidigital number, since it uses as much as digits as its factorization.

11306170064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 11306170064 in words is "eleven billion, three hundred six million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 1043 1192 2086 2384 4172 4547 8344 9094 16688 18188 22201 31829 36376 44402 63658 72752 88804 127316 155407 177608 254632 310814 355216 509264 621628 677503 1243256 1355006 2486512 2710012 4742521 5420024 9485042 10840048 18970084 37940168 75880336 100947947 201895894 403791788 706635629 807583576 1413271258 1615167152 2826542516 5653085032 11306170064