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87145624381 is a prime number
BaseRepresentation
bin101000100101001001…
…0001011001100111101
322022221022212101212211
41101022102023030331
52411433234440011
6104011213100421
76203356404514
oct1211222131475
9268838771784
1087145624381
1133a5a484482
1214a80a87711
1382aa66711a
144309ba167b
1524009a0b21
hex144a48b33d

87145624381 has 2 divisors, whose sum is σ = 87145624382. Its totient is φ = 87145624380.

The previous prime is 87145624367. The next prime is 87145624427. The reversal of 87145624381 is 18342654178.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80411944900 + 6733679481 = 283570^2 + 82059^2 .

It is a cyclic number.

It is not a de Polignac number, because 87145624381 - 215 = 87145591613 is a prime.

It is a super-2 number, since 2×871456243812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87145624331) by changing a digit.

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 as a sum of consecutive naturals, namely, 43572812190 + 43572812191.

It is an arithmetic number, because the mean of its divisors is an integer number (43572812191).

Almost surely, 287145624381 is an apocalyptic number.

It is an amenable number.

87145624381 is a deficient number, since it is larger than the sum of its proper divisors (1).

87145624381 is an equidigital number, since it uses as much as digits as its factorization.

87145624381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1290240, while the sum is 49.

The spelling of 87145624381 in words is "eighty-seven billion, one hundred forty-five million, six hundred twenty-four thousand, three hundred eighty-one".