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12589143440 = 245374253089
BaseRepresentation
bin10111011100101111…
…10001010110010000
31012111100200202012212
423232113301112100
5201240310042230
65441113011252
7623653645046
oct135627612620
935440622185
1012589143440
115380274885
1225340b3b28
13125822ba03
14875d7a396
154da346895
hex2ee5f1590

12589143440 has 40 divisors (see below), whose sum is σ = 30060840120. Its totient is φ = 4899557376.

The previous prime is 12589143407. The next prime is 12589143451. The reversal of 12589143440 is 4434198521.

It can be written as a sum of positive squares in 4 ways, for example, as 911315344 + 11677828096 = 30188^2 + 108064^2 .

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

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, 2123585 + ... + 2129504.

It is an arithmetic number, because the mean of its divisors is an integer number (751521003).

Almost surely, 212589143440 is an apocalyptic number.

12589143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12589143440 is an abundant number, since it is smaller than the sum of its proper divisors (17471696680).

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

12589143440 is a wasteful number, since it uses less digits than its factorization.

12589143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253139 (or 4253133 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 12589143440 in words is "twelve billion, five hundred eighty-nine million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 4253089 8506178 17012356 21265445 34024712 42530890 68049424 85061780 157364293 170123560 314728586 340247120 629457172 786821465 1258914344 1573642930 2517828688 3147285860 6294571720 12589143440