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11704270968 = 233213311992027
BaseRepresentation
bin10101110011010000…
…10000000001111000
31010012200122120101100
422321220100001320
5142432243132333
65213223051400
7563020442655
oct127150200170
933180576340
1011704270968
114a66835015
1223278a0b60
131146b00a30
147d063ac2c
15487807213
hex2b9a10078

11704270968 has 192 divisors, whose sum is σ = 35433216000. Its totient is φ = 3465918720.

The previous prime is 11704270961. The next prime is 11704270987. The reversal of 11704270968 is 86907240711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11704270961) 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 47 ways as a sum of consecutive naturals, for example, 5773171 + ... + 5775197.

It is an arithmetic number, because the mean of its divisors is an integer number (184548000).

Almost surely, 211704270968 is an apocalyptic number.

11704270968 is a gapful number since it is divisible by the number (18) 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 11704270968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716608000).

11704270968 is an abundant number, since it is smaller than the sum of its proper divisors (23728945032).

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

11704270968 is a wasteful number, since it uses less digits than its factorization.

11704270968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11704270968 in words is "eleven billion, seven hundred four million, two hundred seventy thousand, nine hundred sixty-eight".