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6427137912 = 233131710911117
BaseRepresentation
bin1011111110001011…
…00101011101111000
3121120220210102201220
411333011211131320
5101130321403122
62541431512040
7315161525256
oct57705453570
917526712656
106427137912
1127a8a51928
1212b4528620
137b571c6b0
1444d8395d6
152793ac25c
hex17f165778

6427137912 has 128 divisors (see below), whose sum is σ = 18491457600. Its totient is φ = 1844011008.

The previous prime is 6427137907. The next prime is 6427137949. The reversal of 6427137912 is 2197317246.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572578 + ... + 583694.

Almost surely, 26427137912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6427137912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245728800).

6427137912 is an abundant number, since it is smaller than the sum of its proper divisors (12064319688).

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

6427137912 is a wasteful number, since it uses less digits than its factorization.

6427137912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11265 (or 11261 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 6427137912 is about 80169.4325288635. The cubic root of 6427137912 is about 1859.2560627627.

The spelling of 6427137912 in words is "six billion, four hundred twenty-seven million, one hundred thirty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 109 136 156 204 218 221 312 327 408 436 442 654 663 872 884 1308 1326 1417 1768 1853 2616 2652 2834 3706 4251 5304 5559 5668 7412 8502 11117 11118 11336 14824 17004 22234 22236 24089 33351 34008 44468 44472 48178 66702 72267 88936 96356 133404 144521 144534 188989 192712 266808 289042 289068 377978 433563 566967 578084 578136 755956 867126 1133934 1156168 1211753 1511912 1734252 2267868 2423506 2456857 3468504 3635259 4535736 4847012 4913714 7270518 7370571 9694024 9827428 14541036 14741142 15752789 19654856 20599801 29082072 29482284 31505578 41199602 47258367 58964568 61799403 63011156 82399204 94516734 123598806 126022312 164798408 189033468 247197612 267797413 378066936 494395224 535594826 803392239 1071189652 1606784478 2142379304 3213568956 6427137912