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512142002033152 = 294130779469083
BaseRepresentation
bin111010001110010100101101…
…0000110110001001000000000
32111011100022000200112110011011
41310130221122012301020000
51014111413310010030102
65013122442052130304
7212606016145360021
oct16434513206611000
92434308020473134
10512142002033152
111392032266a6967
1249534674306994
1318c9ca2565215a
149067b3b4d0c48
153e31ec71a52d7
hex1d1ca5a1b1200

512142002033152 has 80 divisors (see below), whose sum is σ = 1051656348248352. Its totient is φ = 249011600302080.

The previous prime is 512142002033147. The next prime is 512142002033177. The reversal of 512142002033152 is 251330200241215.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 33289998 + ... + 46179085.

Almost surely, 2512142002033152 is an apocalyptic number.

It is an amenable number.

512142002033152 is an abundant number, since it is smaller than the sum of its proper divisors (539514346215200).

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

512142002033152 is an equidigital number, since it uses as much as digits as its factorization.

512142002033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79469449 (or 79469433 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 512142002033152 its reverse (251330200241215), we get a palindrome (763472202274367).

The spelling of 512142002033152 in words is "five hundred twelve trillion, one hundred forty-two billion, two million, thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 307 328 512 614 656 1228 1312 2456 2624 4912 5248 9824 10496 12587 19648 20992 25174 39296 50348 78592 100696 157184 201392 402784 805568 1611136 3222272 6444544 79469083 158938166 317876332 635752664 1271505328 2543010656 3258232403 5086021312 6516464806 10172042624 13032929612 20344085248 24397008481 26065859224 40688170496 48794016962 52131718448 97588033924 104263436896 195176067848 208526873792 390352135696 417053747584 780704271392 834107495168 1000277347721 1561408542784 1668214990336 2000554695442 3122817085568 4001109390884 6245634171136 8002218781768 12491268342272 16004437563536 32008875127072 64017750254144 128035500508288 256071001016576 512142002033152