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2664731300 = 22527111720357
BaseRepresentation
bin1001111011010100…
…1001001010100100
320212201011101010212
42132311021022210
520424132400200
61120230234552
7123014561630
oct23665111244
96781141125
102664731300
111148198080
126244b5a58
133360b85aa
141b3c91dc0
15108e1a035
hex9ed492a4

2664731300 has 144 divisors (see below), whose sum is σ = 7633761408. Its totient is φ = 781670400.

The previous prime is 2664731273. The next prime is 2664731339. The reversal of 2664731300 is 31374662.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120722 + ... + 141078.

It is an arithmetic number, because the mean of its divisors is an integer number (53012232).

Almost surely, 22664731300 is an apocalyptic number.

2664731300 is a gapful number since it is divisible by the number (20) 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 2664731300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816880704).

2664731300 is an abundant number, since it is smaller than the sum of its proper divisors (4969030108).

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

2664731300 is a wasteful number, since it uses less digits than its factorization.

2664731300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20406 (or 20399 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 2664731300 is about 51621.0354409905. The cubic root of 2664731300 is about 1386.3869904351.

The spelling of 2664731300 in words is "two billion, six hundred sixty-four million, seven hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 700 748 770 850 935 1100 1190 1309 1540 1700 1870 1925 2380 2618 2975 3740 3850 4675 5236 5950 6545 7700 9350 11900 13090 18700 20357 26180 32725 40714 65450 81428 101785 130900 142499 203570 223927 284998 346069 407140 447854 508925 569996 692138 712495 895708 1017850 1119635 1384276 1424990 1567489 1730345 2035700 2239270 2422483 2849980 3134978 3460690 3562475 3806759 4478540 4844966 5598175 6269956 6921380 7124950 7613518 7837445 8651725 9689932 11196350 12112415 14249900 15227036 15674890 17303450 19033795 22392700 24224830 26647313 31349780 34606900 38067590 39187225 48449660 53294626 60562075 76135180 78374450 95168975 106589252 121124150 133236565 156748900 190337950 242248300 266473130 380675900 532946260 666182825 1332365650 2664731300