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2530057298600 = 235213412578881
BaseRepresentation
bin100100110100010011001…
…010101010001010101000
322221212112001011112111002
4210310103022222022220
5312423024132023400
65214143044254132
7350535115126526
oct44642312521250
98855461145432
102530057298600
11895a9a428627
1234a4130a1348
131547778b9720
148a653995316
1545c2c7a6ed5
hex24d132aa2a8

2530057298600 has 144 divisors (see below), whose sum is σ = 6493163095860. Its totient is φ = 911388672000.

The previous prime is 2530057298507. The next prime is 2530057298621. The reversal of 2530057298600 is 68927500352.

It can be written as a sum of positive squares in 18 ways, for example, as 2063319653476 + 466737645124 = 1436426^2 + 683182^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4081160 + ... + 4660040.

Almost surely, 22530057298600 is an apocalyptic number.

2530057298600 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 2530057298600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246581547930).

2530057298600 is an abundant number, since it is smaller than the sum of its proper divisors (3963105797260).

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

2530057298600 is a wasteful number, since it uses less digits than its factorization.

2530057298600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578992 (or 578942 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 2530057298600 in words is "two trillion, five hundred thirty billion, fifty-seven million, two hundred ninety-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 41 50 52 65 82 100 104 130 164 200 205 260 325 328 410 520 533 650 820 1025 1066 1300 1640 1681 2050 2132 2600 2665 3362 4100 4264 5330 6724 8200 8405 10660 13325 13448 16810 21320 21853 26650 33620 42025 43706 53300 67240 84050 87412 106600 109265 168100 174824 218530 336200 437060 546325 578881 874120 1092650 1157762 2185300 2315524 2894405 4370600 4631048 5788810 7525453 11577620 14472025 15050906 23155240 23734121 28944050 30101812 37627265 47468242 57888100 60203624 75254530 94936484 115776200 118670605 150509060 188136325 189872968 237341210 301018120 308543573 376272650 474682420 593353025 617087146 752545300 949364840 973098961 1186706050 1234174292 1505090600 1542717865 1946197922 2373412100 2468348584 3085435730 3892395844 4746824200 4865494805 6170871460 7713589325 7784791688 9730989610 12341742920 12650286493 15427178650 19461979220 24327474025 25300572986 30854357300 38923958440 48654948050 50601145972 61708714600 63251432465 97309896100 101202291944 126502864930 194619792200 253005729860 316257162325 506011459720 632514324650 1265028649300 2530057298600