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4070666880 = 27335773461
BaseRepresentation
bin1111001010100001…
…0111001010000000
3101111200200022012000
43302220113022000
531314042320010
61511532304000
7202606045320
oct36250271200
911450608160
104070666880
1117a9870305
12957312000
134cb464937
142a88ab280
1518c5837c0
hexf2a17280

4070666880 has 512 divisors, whose sum is σ = 16738444800. Its totient is φ = 915701760.

The previous prime is 4070666869. The next prime is 4070666903. The reversal of 4070666880 is 886660704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 8829850 + ... + 8830310.

It is an arithmetic number, because the mean of its divisors is an integer number (32692275).

Almost surely, 24070666880 is an apocalyptic number.

4070666880 is a gapful number since it is divisible by the number (40) 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 4070666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8369222400).

4070666880 is an abundant number, since it is smaller than the sum of its proper divisors (12667777920).

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

4070666880 is a wasteful number, since it uses less digits than its factorization.

4070666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4070666880 is about 63801.7780316505. The cubic root of 4070666880 is about 1596.6945927960.

The spelling of 4070666880 in words is "four billion, seventy million, six hundred sixty-six thousand, eight hundred eighty".