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415220564030013 = 33721732715644033
BaseRepresentation
bin101111001101001000001001…
…0001110001111001000111101
32000110011200212000202010212000
41132122100102032033020331
5413410433203342430023
64031033405505132513
7153313460440350300
oct13632202216171075
92013150760663760
10415220564030013
111103360636874a5
123a6a063a92a139
1314a8c1922777a1
147476ad5388b37
153300c8e248243
hex179a41238f23d

415220564030013 has 96 divisors (see below), whose sum is σ = 757897140337920. Its totient is φ = 223243590205440.

The previous prime is 415220564029963. The next prime is 415220564030071. The reversal of 415220564030013 is 310030465022514.

415220564030013 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 2 + 0 + 5 + 640 + 3 + 0 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 415220564030013 - 217 = 415220563898941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 415220564030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415220564030093) 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, 70746045 + ... + 76390077.

It is an arithmetic number, because the mean of its divisors is an integer number (7894761878520).

Almost surely, 2415220564030013 is an apocalyptic number.

It is an amenable number.

415220564030013 is a deficient number, since it is larger than the sum of its proper divisors (342676576307907).

415220564030013 is a wasteful number, since it uses less digits than its factorization.

415220564030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647344 (or 5647331 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 415220564030013 in words is "four hundred fifteen trillion, two hundred twenty billion, five hundred sixty-four million, thirty thousand, thirteen".

Divisors: 1 3 7 9 17 21 27 49 51 63 119 147 153 189 357 441 459 833 1071 1323 2499 3213 3271 7497 9813 22491 22897 29439 55607 68691 88317 160279 166821 206073 389249 480837 500463 618219 1167747 1442511 1501389 2724743 3503241 4327533 5644033 8174229 10509723 16932099 24522687 39508231 50796297 73568061 95948561 118524693 152388891 276557617 287845683 355574079 671639927 829672851 863537049 1066722237 2014919781 2489018553 2590611147 4701479489 6044759343 7467055659 14104438467 18134278029 18461631943 42313315401 55384895829 126939946203 129231423601 166154687487 313847743031 387694270803 498464062461 904619965207 941543229093 1163082812409 2196934201217 2713859895621 2824629687279 3489248437227 6590802603651 8141579686863 8473889061837 15378539408519 19772407810953 24424739060589 46135618225557 59317223432859 138406854676671 415220564030013