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537320530400 = 255210716693761
BaseRepresentation
bin1111101000110101100…
…11001010000111100000
31220100220210101002110012
413310122303022013200
532300413023433100
61050501443424052
753551206102413
oct7643263120740
91810823332405
10537320530400
11197970482355
1288177685028
133b891054564
141c0139c3b7a
15de9c28d135
hex7d1acca1e0

537320530400 has 144 divisors (see below), whose sum is σ = 1325138466960. Its totient is φ = 212735385600.

The previous prime is 537320530361. The next prime is 537320530421. The reversal of 537320530400 is 4035023735.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142864520 + ... + 142868280.

It is an arithmetic number, because the mean of its divisors is an integer number (9202350465).

Almost surely, 2537320530400 is an apocalyptic number.

537320530400 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 537320530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662569233480).

537320530400 is an abundant number, since it is smaller than the sum of its proper divisors (787817936560).

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

537320530400 is a wasteful number, since it uses less digits than its factorization.

537320530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 32.

The spelling of 537320530400 in words is "five hundred thirty-seven billion, three hundred twenty million, five hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 400 428 535 800 856 1070 1669 1712 2140 2675 3338 3424 3761 4280 5350 6676 7522 8345 8560 10700 13352 15044 16690 17120 18805 21400 26704 30088 33380 37610 41725 42800 53408 60176 66760 75220 83450 85600 94025 120352 133520 150440 166900 178583 188050 267040 300880 333800 357166 376100 402427 601760 667600 714332 752200 804854 892915 1335200 1428664 1504400 1609708 1785830 2012135 2857328 3008800 3219416 3571660 4024270 4464575 5714656 6277109 6438832 7143320 8048540 8929150 10060675 12554218 12877664 14286640 16097080 17858300 20121350 25108436 28573280 31385545 32194160 35716600 40242700 50216872 62771090 64388320 71433200 80485400 100433744 125542180 142866400 156927725 160970800 200867488 251084360 313855450 321941600 502168720 627710900 671650663 1004337440 1255421800 1343301326 2510843600 2686602652 3358253315 5021687200 5373205304 6716506630 10746410608 13433013260 16791266575 21492821216 26866026520 33582533150 53732053040 67165066300 107464106080 134330132600 268660265200 537320530400