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6427989648 = 2432672812371
BaseRepresentation
bin1011111110010001…
…10101011010010000
3121120222101201002200
411333020311122100
5101131031132043
62541502043200
7315202003413
oct57710653220
917528351080
106427989648
1127a9483843
1212b4879500
137b595a292
1444d9bbb7a
152794c97d3
hex17f235690

6427989648 has 120 divisors (see below), whose sum is σ = 18330645216. Its totient is φ = 2102284800.

The previous prime is 6427989563. The next prime is 6427989671. The reversal of 6427989648 is 8469897246.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2709903 + ... + 2712273.

Almost surely, 26427989648 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 6427989648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165322608).

6427989648 is an abundant number, since it is smaller than the sum of its proper divisors (11902655568).

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

6427989648 is a wasteful number, since it uses less digits than its factorization.

6427989648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2724 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 6427989648 is about 80174.7444523523. The cubic root of 6427989648 is about 1859.3381897994.

The spelling of 6427989648 in words is "six billion, four hundred twenty-seven million, nine hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 281 402 536 562 603 804 843 1072 1124 1206 1608 1686 2248 2371 2412 2529 3216 3372 4496 4742 4824 5058 6744 7113 9484 9648 10116 13488 14226 18827 18968 20232 21339 28452 37654 37936 40464 42678 56481 56904 75308 85356 112962 113808 150616 158857 169443 170712 225924 301232 317714 338886 341424 451848 476571 635428 666251 677772 903696 953142 1270856 1332502 1355544 1429713 1906284 1998753 2541712 2665004 2711088 2859426 3812568 3997506 5330008 5718852 5996259 7625136 7995012 10660016 11437704 11992518 15990024 22875408 23985036 31980048 44638817 47970072 89277634 95940144 133916451 178555268 267832902 357110536 401749353 535665804 714221072 803498706 1071331608 1606997412 2142663216 3213994824 6427989648