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1139628866688 = 27331342160251
BaseRepresentation
bin10000100101010111001…
…011000111110010000000
311000221120200202210001000
4100211113023013302000
5122132424442213223
62231312133412000
7145223031352014
oct20452713076200
94027520683030
101139628866688
113aa34a870094
12164a4b49a000
138360acb5410
143d230666544
151e99eac7543
hex109572c7c80

1139628866688 has 256 divisors, whose sum is σ = 3630881923200. Its totient is φ = 349816320000.

The previous prime is 1139628866653. The next prime is 1139628866693. The reversal of 1139628866688 is 8866688269311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18884563 + ... + 18944813.

Almost surely, 21139628866688 is an apocalyptic number.

1139628866688 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 1139628866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815440961600).

1139628866688 is an abundant number, since it is smaller than the sum of its proper divisors (2491253056512).

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

1139628866688 is a wasteful number, since it uses less digits than its factorization.

1139628866688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60708 (or 60690 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 1139628866688 in words is "one trillion, one hundred thirty-nine billion, six hundred twenty-eight million, eight hundred sixty-six thousand, six hundred eighty-eight".