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87214441278 = 23331296314821
BaseRepresentation
bin101000100111001100…
…0101100001100111110
322100010010100122220210
41101032120230030332
52412103344110103
6104022112053250
76205153343046
oct1211630541476
9270103318823
1087214441278
1133a95307648
1214a9bb34226
1382bb9b0293
144314d96726
152406a45e03
hex144e62c33e

87214441278 has 32 divisors (see below), whose sum is σ = 175026713472. Its totient is φ = 28971914400.

The previous prime is 87214441277. The next prime is 87214441291.

87214441278 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87214441277) 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, 5877108 + ... + 5891928.

It is an arithmetic number, because the mean of its divisors is an integer number (5469584796).

Almost surely, 287214441278 is an apocalyptic number.

87214441278 is an abundant number, since it is smaller than the sum of its proper divisors (87812272194).

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

87214441278 is a wasteful number, since it uses less digits than its factorization.

87214441278 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18120.

The product of its digits is 802816, while the sum is 48.

The spelling of 87214441278 in words is "eighty-seven billion, two hundred fourteen million, four hundred forty-one thousand, two hundred seventy-eight".

Divisors: 1 2 3 6 331 662 993 1986 2963 5926 8889 14821 17778 29642 44463 88926 980753 1961506 2942259 4905751 5884518 9811502 14717253 29434506 43914623 87829246 131743869 263487738 14535740213 29071480426 43607220639 87214441278