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11960710128 = 2434175310243
BaseRepresentation
bin10110010001110100…
…11111001111110000
31010212120012000210000
423020322133033300
5143443420211003
65254503310000
7602253234003
oct131072371760
933776160700
1011960710128
115088566604
12239974b300
131187c89293
1481671153a
154a00ae1a3
hex2c8e9f3f0

11960710128 has 200 divisors, whose sum is σ = 37349337168. Its totient is φ = 3681220608.

The previous prime is 11960710109. The next prime is 11960710183. The reversal of 11960710128 is 82101706911.

11960710128 is a `hidden beast` number, since 1 + 19 + 607 + 10 + 1 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11960710092 and 11960710101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1162575 + ... + 1172817.

Almost surely, 211960710128 is an apocalyptic number.

11960710128 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 11960710128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18674668584).

11960710128 is an abundant number, since it is smaller than the sum of its proper divisors (25388627040).

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

11960710128 is a wasteful number, since it uses less digits than its factorization.

11960710128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10333 (or 10318 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11960710128 in words is "eleven billion, nine hundred sixty million, seven hundred ten thousand, one hundred twenty-eight".