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513214034202 = 2321976911171747
BaseRepresentation
bin1110111011111011111…
…00001011000100011010
31211001200202202012102200
413131331330023010122
531402030243043302
61031433421511030
752035631212402
oct7357574130432
91731622665380
10513214034202
1118871aa40a21
128356a412476
133951b97b91c
141aba8185802
15d53ac6281c
hex777df0b11a

513214034202 has 96 divisors (see below), whose sum is σ = 1173730958400. Its totient is φ = 161619369984.

The previous prime is 513214034197. The next prime is 513214034213. The reversal of 513214034202 is 202430412315.

513214034202 is a `hidden beast` number, since 51 + 3 + 2 + 1 + 403 + 4 + 202 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293767893 + ... + 293769639.

It is an arithmetic number, because the mean of its divisors is an integer number (12226364150).

Almost surely, 2513214034202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513214034202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586865479200).

513214034202 is an abundant number, since it is smaller than the sum of its proper divisors (660516924198).

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

513214034202 is a wasteful number, since it uses less digits than its factorization.

513214034202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 513214034202 its reverse (202430412315), we get a palindrome (715644446517).

The spelling of 513214034202 in words is "five hundred thirteen billion, two hundred fourteen million, thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 769 1117 1538 1747 2234 2307 3351 3494 4614 5241 6702 6921 10053 10482 13842 14611 15723 20106 21223 29222 31446 33193 42446 43833 63669 66386 87666 99579 127338 131499 191007 199158 262998 298737 382014 597474 858973 1343443 1717946 1951399 2576919 2686886 3902798 4030329 5153838 5854197 7730757 8060658 11708394 12090987 15461514 16320487 17562591 24181974 25525417 32640974 35125182 37076581 48961461 51050834 74153162 76576251 97922922 111229743 146884383 153152502 222459486 229728753 293768766 333689229 459457506 667378458 1500625831 3001251662 4501877493 9003754986 13505632479 27011264958 28511890789 57023781578 85535672367 171071344734 256607017101 513214034202