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505212635052 = 223342112299041
BaseRepresentation
bin1110101101000010000…
…01010000011110101100
31210022001010201000021000
413112201001100132230
531234133413310202
61024031432040300
751333432354156
oct7264101203654
91708033630230
10505212635052
111852943a8354
1281ab6833090
1338845068a08
141a649635ad6
15d21d58c91c
hex75a10507ac

505212635052 has 96 divisors (see below), whose sum is σ = 1314135345600. Its totient is φ = 167848934400.

The previous prime is 505212635009. The next prime is 505212635099. The reversal of 505212635052 is 250536212505.

505212635052 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 12 + 635 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 505212634998 and 505212635016.

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, 55875652 + ... + 55884692.

It is an arithmetic number, because the mean of its divisors is an integer number (13688909850).

Almost surely, 2505212635052 is an apocalyptic number.

It is an amenable number.

505212635052 is an abundant number, since it is smaller than the sum of its proper divisors (808922710548).

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

505212635052 is a wasteful number, since it uses less digits than its factorization.

505212635052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 505212635052 its reverse (250536212505), we get a palindrome (755748847557).

The spelling of 505212635052 in words is "five hundred five billion, two hundred twelve million, six hundred thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 421 842 1229 1263 1684 2458 2526 3687 3789 4916 5052 7374 7578 9041 11061 11367 14748 15156 18082 22122 22734 27123 33183 36164 44244 45468 54246 66366 81369 108492 132732 162738 244107 325476 488214 517409 976428 1034818 1552227 2069636 3104454 3806261 4656681 6208908 7612522 9313362 11111389 11418783 13970043 15225044 18626724 22222778 22837566 27940086 33334167 34256349 44445556 45675132 55880172 66668334 68512698 100002501 102769047 133336668 137025396 200005002 205538094 300007503 400010004 411076188 600015006 1200030012 4677894769 9355789538 14033684307 18711579076 28067368614 42101052921 56134737228 84202105842 126303158763 168404211684 252606317526 505212635052