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8427129312 = 253712540371
BaseRepresentation
bin1111101100100101…
…11100100111100000
3210202022010112011110
413312102330213200
5114224321114222
63512114343320
7415555263060
oct76622744740
923668115143
108427129312
113634992a88
12177228ab40
13a43b92b64
1459d2d13a0
15344c6c30c
hex1f64bc9e0

8427129312 has 48 divisors (see below), whose sum is σ = 25281389952. Its totient is φ = 2407751040.

The previous prime is 8427129259. The next prime is 8427129353. The reversal of 8427129312 is 2139217248.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 6269514 + ... + 6270857.

It is an arithmetic number, because the mean of its divisors is an integer number (526695624).

Almost surely, 28427129312 is an apocalyptic number.

It is an amenable number.

8427129312 is an abundant number, since it is smaller than the sum of its proper divisors (16854260640).

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

8427129312 is a wasteful number, since it uses less digits than its factorization.

8427129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12540391 (or 12540383 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 8427129312 is about 91799.3971222034. The cubic root of 8427129312 is about 2034.9787852026.

The spelling of 8427129312 in words is "eight billion, four hundred twenty-seven million, one hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 12540371 25080742 37621113 50161484 75242226 87782597 100322968 150484452 175565194 200645936 263347791 300968904 351130388 401291872 526695582 601937808 702260776 1053391164 1203875616 1404521552 2106782328 2809043104 4213564656 8427129312