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87294108560 = 2456117888137
BaseRepresentation
bin101000101001100100…
…0100110001110010000
322100022200021011212212
41101103020212032100
52412234242433220
6104034035411252
76210141452141
oct1212310461620
9270280234785
1087294108560
113402628087a
1214b02753b28
138302355099
1443217b3ac8
15240da310c5
hex1453226390

87294108560 has 40 divisors (see below), whose sum is σ = 206286007416. Its totient is φ = 34345221120.

The previous prime is 87294108553. The next prime is 87294108589. The reversal of 87294108560 is 6580149278.

It can be written as a sum of positive squares in 4 ways, for example, as 5278313104 + 82015795456 = 72652^2 + 286384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×872941085602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87294108499 and 87294108508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8939189 + ... + 8948948.

Almost surely, 287294108560 is an apocalyptic number.

87294108560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87294108560 is an abundant number, since it is smaller than the sum of its proper divisors (118991898856).

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

87294108560 is a wasteful number, since it uses less digits than its factorization.

87294108560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17888211 (or 17888205 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 87294108560 in words is "eighty-seven billion, two hundred ninety-four million, one hundred eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 17888137 35776274 71552548 89440685 143105096 178881370 286210192 357762740 715525480 1091176357 1431050960 2182352714 4364705428 5455881785 8729410856 10911763570 17458821712 21823527140 43647054280 87294108560