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530268635100 = 2235214948724359
BaseRepresentation
bin1111011011101100111…
…10010011111111011100
31212200201022222200200210
413231312132103333130
532141442232310400
61043334013052420
753211360013041
oct7556636237734
91780638880623
10530268635100
11194981903006
1286929a87110
133b00907b649
141b9451d91c8
15dbd8122950
hex7b76793fdc

530268635100 has 144 divisors (see below), whose sum is σ = 1547775936000. Its totient is φ = 140161777920.

The previous prime is 530268635093. The next prime is 530268635129. The reversal of 530268635100 is 1536862035.

It is a congruent number.

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, 21756721 + ... + 21781079.

It is an arithmetic number, because the mean of its divisors is an integer number (10748444000).

Almost surely, 2530268635100 is an apocalyptic number.

530268635100 is a gapful number since it is divisible by the number (50) 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 530268635100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773887968000).

530268635100 is an abundant number, since it is smaller than the sum of its proper divisors (1017507300900).

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

530268635100 is a wasteful number, since it uses less digits than its factorization.

530268635100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012 (or 25005 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 530268635100 in words is "five hundred thirty billion, two hundred sixty-eight million, six hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 487 596 745 894 974 1461 1490 1788 1948 2235 2435 2922 2980 3725 4470 4870 5844 7305 7450 8940 9740 11175 12175 14610 14900 22350 24350 24359 29220 36525 44700 48700 48718 72563 73050 73077 97436 121795 145126 146100 146154 217689 243590 290252 292308 362815 365385 435378 487180 608975 725630 730770 870756 1088445 1217950 1451260 1461540 1814075 1826925 2176890 2435900 3628150 3629491 3653850 4353780 5442225 7256300 7258982 7307700 10884450 10888473 11862833 14517964 18147455 21768900 21776946 23725666 35588499 36294910 43553892 47451332 54442365 59314165 71176998 72589820 90737275 108884730 118628330 142353996 177942495 181474550 217769460 237256660 272211825 296570825 355884990 362949100 544423650 593141650 711769980 889712475 1088847300 1186283300 1767562117 1779424950 3535124234 3558849900 5302686351 7070248468 8837810585 10605372702 17675621170 21210745404 26513431755 35351242340 44189052925 53026863510 88378105850 106053727020 132567158775 176756211700 265134317550 530268635100