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513366630161058 = 23514935919747433
BaseRepresentation
bin111010010111001110111101…
…1101000010101101010100010
32111022200101000010102002100000
41310232131323220111222202
51014241444324310123213
65015501212451040430
7213063341444613162
oct16456357350255242
92438611003362300
10513366630161058
11139635624315a73
12496b1a858a0116
131905b35b3cc8bb
1490ab1128405a2
153e53c9e0a8c73
hex1d2e77ba15aa2

513366630161058 has 96 divisors (see below), whose sum is σ = 1164466688112000. Its totient is φ = 169500265808256.

The previous prime is 513366630161057. The next prime is 513366630161071. The reversal of 513366630161058 is 850161036663315.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513366630160995 and 513366630161013.

It is not an unprimeable number, because it can be changed into a prime (513366630161051) 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, 16122910 + ... + 35870342.

It is an arithmetic number, because the mean of its divisors is an integer number (12129861334500).

Almost surely, 2513366630161058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513366630161058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582233344056000).

513366630161058 is an abundant number, since it is smaller than the sum of its proper divisors (651100057950942).

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

513366630161058 is a wasteful number, since it uses less digits than its factorization.

513366630161058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19747958 (or 19747946 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 513366630161058 in words is "five hundred thirteen trillion, three hundred sixty-six billion, six hundred thirty million, one hundred sixty-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 359 447 486 718 894 1077 1341 2154 2682 3231 4023 6462 8046 9693 12069 19386 24138 29079 36207 53491 58158 72414 87237 106982 160473 174474 320946 481419 962838 1444257 2888514 4332771 8665542 12998313 19747433 25996626 39494866 59242299 118484598 177726897 355453794 533180691 1066361382 1599542073 2942367517 3199084146 4798626219 5884735034 7089328447 8827102551 9597252438 14178656894 17654205102 21267985341 26481307653 42535970682 52962615306 63803956023 79443922959 127607912046 158887845918 191411868069 238331768877 382823736138 476663537754 574235604207 714995306631 1056309938603 1148471208414 1429990613262 1722706812621 2112619877206 3168929815809 3445413625242 6337859631618 9506789447427 19013578894854 28520368342281 57040736684562 85561105026843 171122210053686 256683315080529 513366630161058