Search a number
-
+
6624693880 = 2357294671747
BaseRepresentation
bin1100010101101110…
…01100111001111000
3122002200112022120121
412022313030321320
5102031410201010
63013210103024
7323110653220
oct61267147170
918080468517
106624693880
11289a515622
12134a71aa74
1381762c40c
1446bb83080
1528b8d23da
hex18adcce78

6624693880 has 128 divisors (see below), whose sum is σ = 17670182400. Its totient is φ = 2187053568.

The previous prime is 6624693871. The next prime is 6624693913. The reversal of 6624693880 is 883964266.

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, 3791167 + ... + 3792913.

It is an arithmetic number, because the mean of its divisors is an integer number (138048300).

Almost surely, 26624693880 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 6624693880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835091200).

6624693880 is an abundant number, since it is smaller than the sum of its proper divisors (11045488520).

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

6624693880 is a wasteful number, since it uses less digits than its factorization.

6624693880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The square root of 6624693880 is about 81392.2224785636. Note that the first 3 decimals coincide. The cubic root of 6624693880 is about 1878.1139490123.

The spelling of 6624693880 in words is "six billion, six hundred twenty-four million, six hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 467 580 812 934 1015 1160 1624 1747 1868 2030 2335 3269 3494 3736 4060 4670 6538 6988 8120 8735 9340 12229 13076 13543 13976 16345 17470 18680 24458 26152 27086 32690 34940 48916 50663 54172 61145 65380 67715 69880 94801 97832 101326 108344 122290 130760 135430 189602 202652 244580 253315 270860 354641 379204 405304 474005 489160 506630 541720 709282 758408 815849 948010 1013260 1418564 1631698 1773205 1896020 2026520 2837128 3263396 3546410 3792040 4079245 5710943 6526792 7092820 8158490 11421886 14185640 16316980 22843772 23659621 28554715 32633960 45687544 47319242 57109430 94638484 114218860 118298105 165617347 189276968 228437720 236596210 331234694 473192420 662469388 828086735 946384840 1324938776 1656173470 3312346940 6624693880