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87822326145 = 3517834149413
BaseRepresentation
bin101000111001010011…
…1100101100110000001
322101200111012102012010
41101302213211212001
52414330003414040
6104202305123133
76226214312121
oct1216247454601
9271614172163
1087822326145
1134277460534
121502b6294a9
138387909a78
1443719d2c81
1524400bee80
hex14729e5981

87822326145 has 32 divisors (see below), whose sum is σ = 150573935232. Its totient is φ = 43552228352.

The previous prime is 87822326131. The next prime is 87822326173. The reversal of 87822326145 is 54162322878.

It is a cyclic number.

It is not a de Polignac number, because 87822326145 - 210 = 87822325121 is a prime.

It is a super-2 number, since 2×878223261452 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87822326094 and 87822326103.

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 31 ways as a sum of consecutive naturals, for example, 2053542 + ... + 2095871.

It is an arithmetic number, because the mean of its divisors is an integer number (4705435476).

Almost surely, 287822326145 is an apocalyptic number.

87822326145 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87822326145 is a deficient number, since it is larger than the sum of its proper divisors (62751609087).

87822326145 is a wasteful number, since it uses less digits than its factorization.

87822326145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149521.

The product of its digits is 1290240, while the sum is 48.

The spelling of 87822326145 in words is "eighty-seven billion, eight hundred twenty-two million, three hundred twenty-six thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 51 83 85 249 255 415 1245 1411 4233 7055 21165 4149413 12448239 20747065 62241195 70540021 211620063 344401279 352700105 1033203837 1058100315 1722006395 5166019185 5854821743 17564465229 29274108715 87822326145