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8070283816 = 237319914691
BaseRepresentation
bin1111000010000011…
…01100001000101000
3202211102122220011121
413201001230020220
5113011443040231
63412450105024
7403663165150
oct74101541050
922742586147
108070283816
113471512751
12169287b174
139b7c80b8a
14567b61760
15323780311
hex1e106c228

8070283816 has 64 divisors (see below), whose sum is σ = 17873141760. Its totient is φ = 3343032000.

The previous prime is 8070283813. The next prime is 8070283829. The reversal of 8070283816 is 6183820708.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8070283813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1718031 + ... + 1722721.

It is an arithmetic number, because the mean of its divisors is an integer number (279267840).

Almost surely, 28070283816 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 8070283816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936570880).

8070283816 is an abundant number, since it is smaller than the sum of its proper divisors (9802857944).

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

8070283816 is a wasteful number, since it uses less digits than its factorization.

8070283816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 8070283816 is about 89834.7583956232. The cubic root of 8070283816 is about 2005.8399157613.

The spelling of 8070283816 in words is "eight billion, seventy million, two hundred eighty-three thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 991 1736 1982 3964 4691 6937 7928 9382 13874 18764 27748 30721 32837 37528 55496 61442 65674 122884 131348 145421 215047 245768 262696 290842 430094 581684 860188 1017947 1163368 1720376 2035894 4071788 4648781 8143576 9297562 18595124 32541467 37190248 65082934 130165868 144112211 260331736 288224422 576448844 1008785477 1152897688 2017570954 4035141908 8070283816