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87249134370 = 2358335039813
BaseRepresentation
bin101000101000001110…
…1000010001100100010
322100012112122020220010
41101100131002030202
52412141234244440
6104025351425350
76206054256066
oct1212035021442
9270175566803
1087249134370
1134002953022
1214aab685256
1382c5c39438
144319827aa6
152409aea580
hex1450742322

87249134370 has 32 divisors (see below), whose sum is σ = 211920795072. Its totient is φ = 22986116672.

The previous prime is 87249134359. The next prime is 87249134377. The reversal of 87249134370 is 7343194278.

It is a super-3 number, since 3×872491343703 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (87249134377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17517417 + ... + 17522396.

It is an arithmetic number, because the mean of its divisors is an integer number (6622524846).

Almost surely, 287249134370 is an apocalyptic number.

87249134370 is an abundant number, since it is smaller than the sum of its proper divisors (124671660702).

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

87249134370 is a wasteful number, since it uses less digits than its factorization.

87249134370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35039906.

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 87249134370 in words is "eighty-seven billion, two hundred forty-nine million, one hundred thirty-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 83 166 249 415 498 830 1245 2490 35039813 70079626 105119439 175199065 210238878 350398130 525597195 1051194390 2908304479 5816608958 8724913437 14541522395 17449826874 29083044790 43624567185 87249134370