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87435309140 = 22523296554371
BaseRepresentation
bin101000101101110001…
…1001111000001010100
322100200111221220122222
41101123203033001110
52413031414343030
6104100042041512
76213504602504
oct1213343170124
9270614856588
1087435309140
1134098a52973
1214b41aa9298
138325692a1a
14433644ba04
15241b1233e5
hex145b8cf054

87435309140 has 48 divisors (see below), whose sum is σ = 198204209280. Its totient is φ = 32299935360.

The previous prime is 87435309119. The next prime is 87435309149. The reversal of 87435309140 is 4190353478.

It is a junction number, because it is equal to n+sod(n) for n = 87435309091 and 87435309100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87435309149) 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 in 15 ways as a sum of consecutive naturals, for example, 3263846 + ... + 3290525.

It is an arithmetic number, because the mean of its divisors is an integer number (4129254360).

Almost surely, 287435309140 is an apocalyptic number.

It is an amenable number.

87435309140 is an abundant number, since it is smaller than the sum of its proper divisors (110768900140).

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

87435309140 is a wasteful number, since it uses less digits than its factorization.

87435309140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6554432 (or 6554430 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 87435309140 in words is "eighty-seven billion, four hundred thirty-five million, three hundred nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 6554371 13108742 26217484 32771855 65543710 131087420 150750533 190076759 301501066 380153518 603002132 753752665 760307036 950383795 1507505330 1900767590 3015010660 3801535180 4371765457 8743530914 17487061828 21858827285 43717654570 87435309140