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245653724288 = 27743832087
BaseRepresentation
bin1110010011001000011…
…0100101110010000000
3212111002000211011200202
43210302012211302000
513011044323134123
6304503551504332
723514346130000
oct3446206456200
9774060734622
10245653724288
11951aa139a55
123b738b280a8
131a21b7b950b
14bc654c0000
1565cb493a28
hex39321a5c80

245653724288 has 160 divisors (see below), whose sum is σ = 572683944960. Its totient is φ = 104954970624.

The previous prime is 245653724273. The next prime is 245653724317. The reversal of 245653724288 is 882427356542.

It is a super-2 number, since 2×2456537242882 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117705581 + ... + 117707667.

It is an arithmetic number, because the mean of its divisors is an integer number (3579274656).

Almost surely, 2245653724288 is an apocalyptic number.

245653724288 is a gapful number since it is divisible by the number (28) 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 245653724288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286341972480).

245653724288 is an abundant number, since it is smaller than the sum of its proper divisors (327030220672).

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

245653724288 is an frugal number, since it uses more digits than its factorization.

245653724288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2479 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 56.

The spelling of 245653724288 in words is "two hundred forty-five billion, six hundred fifty-three million, seven hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 383 392 448 686 766 784 896 1372 1532 1568 2087 2401 2681 2744 3064 3136 4174 4802 5362 5488 6128 6272 8348 9604 10724 10976 12256 14609 16696 18767 19208 21448 21952 24512 29218 33392 37534 38416 42896 43904 49024 58436 66784 75068 76832 85792 102263 116872 131369 133568 150136 153664 171584 204526 233744 262738 267136 300272 307328 343168 409052 467488 525476 600544 715841 799321 818104 919583 934976 1050952 1201088 1431682 1598642 1636208 1839166 1869952 2101904 2402176 2863364 3197284 3272416 3678332 4203808 5010887 5595247 5726728 6394568 6544832 7356664 8407616 10021774 11190494 11453456 12789136 13089664 14713328 16815232 20043548 22380988 22906912 25578272 29426656 39166729 40087096 44761976 45813824 51156544 58853312 78333458 80174192 89523952 91627648 102313088 117706624 156666916 160348384 179047904 274167103 313333832 320696768 358095808 548334206 626667664 641393536 716191616 1096668412 1253335328 1919169721 2193336824 2506670656 3838339442 4386673648 5013341312 7676678884 8773347296 15353357768 17546694592 30706715536 35093389184 61413431072 122826862144 245653724288