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1145678688 = 2533711171013
BaseRepresentation
bin100010001001001…
…1010101101100000
32221211210111201000
41010102122231200
54321243204223
6305403512000
740251052050
oct10422325540
92854714630
101145678688
115387843a0
1227b828600
131534851ab
14ac22d560
156a8aa543
hex4449ab60

1145678688 has 384 divisors, whose sum is σ = 4415523840. Its totient is φ = 279797760.

The previous prime is 1145678683. The next prime is 1145678689. The reversal of 1145678688 is 8868765411.

It is a happy number.

1145678688 is a `hidden beast` number, since 1 + 14 + 567 + 8 + 68 + 8 = 666.

It is a super-2 number, since 2×11456786882 = 2625159312274802688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145678683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1130470 + ... + 1131482.

It is an arithmetic number, because the mean of its divisors is an integer number (11498760).

Almost surely, 21145678688 is an apocalyptic number.

1145678688 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 1145678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207761920).

1145678688 is an abundant number, since it is smaller than the sum of its proper divisors (3269845152).

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

1145678688 is a wasteful number, since it uses less digits than its factorization.

1145678688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1053 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 1145678688 is about 33847.8756792801. The cubic root of 1145678688 is about 1046.3756180667.

The spelling of 1145678688 in words is "one billion, one hundred forty-five million, six hundred seventy-eight thousand, six hundred eighty-eight".