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2535212123312 = 2411374137325457
BaseRepresentation
bin100100111001000110011…
…010110000010010110000
322222100211021212202121212
4210321012122300102300
5313014103300421222
65220354350135252
7351106630330151
oct44710632602260
98870737782555
102535212123312
118981a5172740
1234b4114b1528
131550b984626b
148a9c2439928
1545e300e26e2
hex24e466b04b0

2535212123312 has 160 divisors (see below), whose sum is σ = 5652905315904. Its totient is φ = 1090901606400.

The previous prime is 2535212123309. The next prime is 2535212123369. The reversal of 2535212123312 is 2133212125352.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 99575288 + ... + 99600744.

Almost surely, 22535212123312 is an apocalyptic number.

2535212123312 is a gapful number since it is divisible by the number (22) 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 2535212123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826452657952).

2535212123312 is an abundant number, since it is smaller than the sum of its proper divisors (3117693192592).

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

2535212123312 is a wasteful number, since it uses less digits than its factorization.

2535212123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25927 (or 25921 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

Adding to 2535212123312 its reverse (2133212125352), we get a palindrome (4668424248664).

The spelling of 2535212123312 in words is "two trillion, five hundred thirty-five billion, two hundred twelve million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 37 41 44 74 82 88 148 164 176 296 328 373 407 451 592 656 746 814 902 1492 1517 1628 1804 2984 3034 3256 3608 4103 5968 6068 6512 7216 8206 12136 13801 15293 16412 16687 24272 25457 27602 30586 32824 33374 50914 55204 61172 65648 66748 101828 110408 122344 133496 151811 168223 203656 220816 244688 266992 280027 303622 336446 407312 560054 565841 607244 672892 941909 1043737 1120108 1131682 1214488 1345784 1883818 2087474 2240216 2263364 2428976 2691568 3767636 4174948 4480432 4526728 6224251 7535272 8349896 9053456 9495461 10360999 11481107 12448502 15070544 16699792 18990922 20721998 22962214 24897004 37981844 38618269 41443996 45924428 49794008 75963688 77236538 82887992 91848856 99588016 104450071 151927376 154473076 165775984 183697712 208900142 308946152 351332057 389313901 417800284 424800959 617892304 702664114 778627802 835600568 849601918 1405328228 1557255604 1671201136 1699203836 2810656456 3114511208 3398407672 3864652627 4282452911 5621312912 6229022416 6796815344 7729305254 8564905822 14404614337 15458610508 17129811644 28809228674 30917221016 34259623288 57618457348 61834442032 68519246576 115236914696 158450757707 230473829392 316901515414 633803030828 1267606061656 2535212123312