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252642323271300 = 2235219101438843709
BaseRepresentation
bin111001011100011011011111…
…111011110000111010000100
31020010112100222220012011202020
4321130123133323300322010
5231103242434224140200
62253154140412443140
7104133543201206364
oct7134333773607204
91203470886164666
10252642323271300
117355500a129986
1224403936a794b0
13aac80b8388501
144655d4ccd89a4
151e31c1749cea0
hexe5c6dfef0e84

252642323271300 has 144 divisors (see below), whose sum is σ = 777069334171200. Its totient is φ = 63193493952000.

The previous prime is 252642323271287. The next prime is 252642323271307. The reversal of 252642323271300 is 3172323246252.

It is not an unprimeable number, because it can be changed into a prime (252642323271307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218846155 + ... + 219997554.

Almost surely, 2252642323271300 is an apocalyptic number.

252642323271300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252642323271300 is an abundant number, since it is smaller than the sum of its proper divisors (524427010899900).

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

252642323271300 is a wasteful number, since it uses less digits than its factorization.

252642323271300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438843846 (or 438843839 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 252642323271300 in words is "two hundred fifty-two trillion, six hundred forty-two billion, three hundred twenty-three million, two hundred seventy-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 101 114 150 190 202 228 285 300 303 380 404 475 505 570 606 950 1010 1140 1212 1425 1515 1900 1919 2020 2525 2850 3030 3838 5050 5700 5757 6060 7575 7676 9595 10100 11514 15150 19190 23028 28785 30300 38380 47975 57570 95950 115140 143925 191900 287850 575700 438843709 877687418 1316531127 1755374836 2194218545 2633062254 4388437090 5266124508 6582655635 8338030471 8776874180 10971092725 13165311270 16676060942 21942185450 25014091413 26330622540 32913278175 33352121884 41690152355 43884370900 44323214609 50028182826 65826556350 83380304710 88646429218 100056365652 125070457065 131653112700 132969643827 166760609420 177292858436 208450761775 221616073045 250140914130 265939287654 416901523550 443232146090 500281828260 531878575308 625352285325 664848219135 833803047100 842141077571 886464292180 1108080365225 1250704570650 1329696438270 1684282155142 2216160730450 2501409141300 2526423232713 2659392876540 3324241095675 3368564310284 4210705387855 4432321460900 5052846465426 6648482191350 8421410775710 10105692930852 12632116163565 13296964382700 16842821551420 21053526939275 25264232327130 42107053878550 50528464654260 63160580817825 84214107757100 126321161635650 252642323271300