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6128197002 = 23229371811753
BaseRepresentation
bin1011011010100010…
…01101110110001010
3120211002021122220100
411231101031312022
5100022304301002
62452032310230
7304601546364
oct55521156612
916732248810
106128197002
112665231124
1212303a2376
13768802995
14421c5dd34
1525d00c11c
hex16d44dd8a

6128197002 has 96 divisors (see below), whose sum is σ = 14192876880. Its totient is φ = 1907297280.

The previous prime is 6128197001. The next prime is 6128197007. The reversal of 6128197002 is 2007918216.

It can be written as a sum of positive squares in 8 ways, for example, as 829958481 + 5298238521 = 28809^2 + 72789^2 .

It is not an unprimeable number, because it can be changed into a prime (6128197001) 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 47 ways as a sum of consecutive naturals, for example, 3494958 + ... + 3496710.

Almost surely, 26128197002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6128197002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096438440).

6128197002 is an abundant number, since it is smaller than the sum of its proper divisors (8064679878).

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

6128197002 is a wasteful number, since it uses less digits than its factorization.

6128197002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 6128197002 is about 78282.8014445063. The cubic root of 6128197002 is about 1829.9711345442.

The spelling of 6128197002 in words is "six billion, one hundred twenty-eight million, one hundred ninety-seven thousand, two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 181 222 261 333 362 522 543 666 1073 1086 1629 1753 2146 3219 3258 3506 5249 5259 6438 6697 9657 10498 10518 13394 15747 15777 19314 20091 31494 31554 40182 47241 50837 60273 64861 94482 101674 120546 129722 152511 194213 194583 305022 317293 388426 389166 457533 582639 583749 634586 915066 951879 1165278 1167498 1747917 1880969 1903758 2855637 3495834 3761938 5642907 5711274 9201497 11285814 11739841 16928721 18402994 23479682 27604491 33857442 35219523 55208982 70439046 82813473 105658569 165626946 211317138 340455389 680910778 1021366167 2042732334 3064098501 6128197002