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11778666048 = 2632193972711
BaseRepresentation
bin10101111100001000…
…00010111001000000
31010101212122020020200
422332010002321000
5143110314303143
65224441405200
7564613003152
oct127604027100
933355566220
1011778666048
114aa4828156
122348799800
13115934aba6
147da484ad2
1548e1001d3
hex2be102e40

11778666048 has 168 divisors, whose sum is σ = 35640995520. Its totient is φ = 3708840960.

The previous prime is 11778666047. The next prime is 11778666049. The reversal of 11778666048 is 84066687711.

It is an interprime number because it is at equal distance from previous prime (11778666047) and next prime (11778666049).

It is a junction number, because it is equal to n+sod(n) for n = 11778665985 and 11778666003.

It is not an unprimeable number, because it can be changed into a prime (11778666047) 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 23 ways as a sum of consecutive naturals, for example, 4343413 + ... + 4346123.

Almost surely, 211778666048 is an apocalyptic number.

11778666048 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 11778666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820497760).

11778666048 is an abundant number, since it is smaller than the sum of its proper divisors (23862329472).

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

11778666048 is a wasteful number, since it uses less digits than its factorization.

11778666048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11778666048 in words is "eleven billion, seven hundred seventy-eight million, six hundred sixty-six thousand, forty-eight".