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8468086844 = 2273710180929
BaseRepresentation
bin1111110001011110…
…01100000000111100
3210212011012101100002
413320233030000330
5114320312234334
63520140253432
7416563356560
oct77057140074
923764171302
108468086844
113656017a88
121783b41278
13a4c503499
145a49136a0
1534865cb7e
hex1f8bcc03c

8468086844 has 48 divisors (see below), whose sum is σ = 17566342080. Its totient is φ = 3496089600.

The previous prime is 8468086817. The next prime is 8468086853. The reversal of 8468086844 is 4486808648.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8468086844.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 64172 + ... + 145100.

It is an arithmetic number, because the mean of its divisors is an integer number (365965460).

Almost surely, 28468086844 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 8468086844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783171040).

8468086844 is an abundant number, since it is smaller than the sum of its proper divisors (9098255236).

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

8468086844 is a wasteful number, since it uses less digits than its factorization.

8468086844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81078 (or 81076 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The square root of 8468086844 is about 92022.2084281832. The cubic root of 8468086844 is about 2038.2702596858.

The spelling of 8468086844 in words is "eight billion, four hundred sixty-eight million, eighty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 37 74 101 148 202 259 404 518 707 1036 1414 2828 3737 7474 14948 26159 52318 80929 104636 161858 323716 566503 1133006 2266012 2994373 5988746 8173829 11977492 16347658 20960611 32695316 41921222 57216803 83842444 114433606 228867212 302431673 604863346 1209726692 2117021711 4234043422 8468086844