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11077395168 = 2537315379127
BaseRepresentation
bin10100101000100001…
…11010001011100000
31001121000001222110010
422110100322023200
5140141303121133
65031111004520
7541336206510
oct122420721340
931530058403
1011077395168
11477499aa44
122191969740
131076c851c8
14771299840
1544c77b263
hex29443a2e0

11077395168 has 384 divisors, whose sum is σ = 35672555520. Its totient is φ = 2943682560.

The previous prime is 11077395167. The next prime is 11077395179. The reversal of 11077395168 is 86159377011.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11077395167) 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 63 ways as a sum of consecutive naturals, for example, 87223521 + ... + 87223647.

It is an arithmetic number, because the mean of its divisors is an integer number (92897280).

Almost surely, 211077395168 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 11077395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836277760).

11077395168 is an abundant number, since it is smaller than the sum of its proper divisors (24595160352).

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

11077395168 is a wasteful number, since it uses less digits than its factorization.

11077395168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The spelling of 11077395168 in words is "eleven billion, seventy-seven million, three hundred ninety-five thousand, one hundred sixty-eight".