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504212210252413 = 132193725159328513
BaseRepresentation
bin111001010100101000000110…
…1101011101111101001111101
32110010021012211212022010021221
41302221100031223233221331
51012042003101311034123
64544211520333553341
7211130062415356405
oct16251201553575175
92403235755263257
10504212210252413
111367262199a1a33
1248673855045851
1318846013379b00
148c72003389805
153d45ab3c8025d
hex1ca940daefa7d

504212210252413 has 96 divisors (see below), whose sum is σ = 593621761138560. Its totient is φ = 426568716288000.

The previous prime is 504212210252369. The next prime is 504212210252419. The reversal of 504212210252413 is 314252012212405.

It is not a de Polignac number, because 504212210252413 - 213 = 504212210244221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504212210252419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17683576045 + ... + 17683604557.

It is an arithmetic number, because the mean of its divisors is an integer number (6183560011860).

Almost surely, 2504212210252413 is an apocalyptic number.

It is an amenable number.

504212210252413 is a deficient number, since it is larger than the sum of its proper divisors (89409550886147).

504212210252413 is a wasteful number, since it uses less digits than its factorization.

504212210252413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29439 (or 29426 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 504212210252413 its reverse (314252012212405), we get a palindrome (818464222464818).

The spelling of 504212210252413 in words is "five hundred four trillion, two hundred twelve billion, two hundred ten million, two hundred fifty-two thousand, four hundred thirteen".

Divisors: 1 13 19 37 169 247 251 481 593 703 3211 3263 4769 6253 7709 9139 9287 11267 21941 28513 42419 61997 100217 118807 120731 146471 148843 176453 285233 370669 416879 541747 805961 1054981 1569503 1904123 1934959 2293889 2828017 3708029 4818697 5419427 5507191 7042711 7156763 13714753 16908209 20044639 25154467 29820557 36764221 70452551 71593483 91555243 93037919 104636629 135978497 178291789 219806717 260580307 264800231 321255971 477934873 625603733 930715279 1209492947 1360276177 1767720461 2857487321 3387543991 3442403003 4176327623 4243960459 5031204389 8132848529 11886470927 17683590301 22980365993 44751239039 54292259099 55171485967 65405657057 80635248721 105727030877 154524122051 157026536983 717229317571 850273541741 1048258233373 2008813586663 2041344980779 2983504202677 13627357033849 26537484750127 38785554634801 504212210252413