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252780530000 = 245429871657
BaseRepresentation
bin1110101101101011100…
…1001100100101010000
3220011110201011102012212
43223122321030211100
513120143303430000
6312043100011252
724156065024135
oct3533271144520
9804421142185
10252780530000
1198227023629
1240ba7830b28
131aab616000b
14c33dc0858c
156896ea9c35
hex3adae4c950

252780530000 has 100 divisors (see below), whose sum is σ = 633111355140. Its totient is φ = 97625472000.

The previous prime is 252780529993. The next prime is 252780530027. The reversal of 252780530000 is 35087252.

252780530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 198334841104 + 54445688896 = 445348^2 + 233336^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 145829 + ... + 725828.

Almost surely, 2252780530000 is an apocalyptic number.

252780530000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252780530000 is an abundant number, since it is smaller than the sum of its proper divisors (380330825140).

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

252780530000 is an equidigital number, since it uses as much as digits as its factorization.

252780530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871714 (or 871693 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 252780530000 in words is "two hundred fifty-two billion, seven hundred eighty million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 58000 72500 145000 290000 871657 1743314 3486628 4358285 6973256 8716570 13946512 17433140 21791425 25278053 34866280 43582850 50556106 69732560 87165700 101112212 108957125 126390265 174331400 202224424 217914250 252780530 348662800 404448848 435828500 505561060 544785625 631951325 871657000 1011122120 1089571250 1263902650 1743314000 2022244240 2179142500 2527805300 3159756625 4358285000 5055610600 6319513250 8716570000 10111221200 12639026500 15798783125 25278053000 31597566250 50556106000 63195132500 126390265000 252780530000