Search a number
-
+
6419185664 = 216412389
BaseRepresentation
bin1011111101001110…
…10000000000000000
3121120100211102022012
411332213100000000
5101121302420124
62540545232052
7315034115003
oct57647200000
917510742265
106419185664
1127a4510221
1212b1932628
137b3b96c18
1444c76953a
1527883ae0e
hex17e9d0000

6419185664 has 68 divisors (see below), whose sum is σ = 13156906980. Its totient is φ = 3129999360.

The previous prime is 6419185651. The next prime is 6419185697. The reversal of 6419185664 is 4665819146.

It can be written as a sum of positive squares in 2 ways, for example, as 792985600 + 5626200064 = 28160^2 + 75008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2685782 + ... + 2688170.

Almost surely, 26419185664 is an apocalyptic number.

6419185664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6419185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578453490).

6419185664 is an abundant number, since it is smaller than the sum of its proper divisors (6737721316).

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

6419185664 is an frugal number, since it uses more digits than its factorization.

6419185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2432 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 6419185664 is about 80119.8206687958. The cubic root of 6419185664 is about 1858.4889319080.

The spelling of 6419185664 in words is "six billion, four hundred nineteen million, one hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2389 2624 4096 4778 5248 8192 9556 10496 16384 19112 20992 32768 38224 41984 65536 76448 83968 97949 152896 167936 195898 305792 335872 391796 611584 671744 783592 1223168 1343488 1567184 2446336 2686976 3134368 4892672 6268736 9785344 12537472 19570688 25074944 39141376 50149888 78282752 100299776 156565504 200599552 401199104 802398208 1604796416 3209592832 6419185664