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87575840425 = 52172576611213
BaseRepresentation
bin101000110001111101…
…1010100011010101001
322101001022101122100101
41101203323110122221
52413323403343200
6104122022105401
76220132234633
oct1214373243251
9271038348311
1087575840425
1134160308127
1214b80b7b261
138348827b28
14434ad8da53
15242863226a
hex1463ed46a9

87575840425 has 48 divisors (see below), whose sum is σ = 115699259952. Its totient is φ = 65529446400.

The previous prime is 87575840419. The next prime is 87575840447. The reversal of 87575840425 is 52404857578.

It can be written as a sum of positive squares in 24 ways, for example, as 26554983849 + 61020856576 = 162957^2 + 247024^2 .

It is not a de Polignac number, because 87575840425 - 221 = 87573743273 is a prime.

It is a super-2 number, since 2×875758404252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72197119 + ... + 72198331.

It is an arithmetic number, because the mean of its divisors is an integer number (2410401249).

Almost surely, 287575840425 is an apocalyptic number.

87575840425 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87575840425 is a deficient number, since it is larger than the sum of its proper divisors (28123419527).

87575840425 is a wasteful number, since it uses less digits than its factorization.

87575840425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 12544000, while the sum is 55.

The spelling of 87575840425 in words is "eighty-seven billion, five hundred seventy-five million, eight hundred forty thousand, four hundred twenty-five".

Divisors: 1 5 17 25 85 257 425 661 1213 1285 3305 4369 6065 6425 11237 16525 20621 21845 30325 56185 103105 109225 169877 280925 311741 515525 801793 849385 1558705 2887909 4008965 4246925 5299597 7793525 13630481 14439545 20044825 26497985 68152405 72197725 132489925 206060801 340762025 1030304005 3503033617 5151520025 17515168085 87575840425