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513043243312104 = 2336531659818449
BaseRepresentation
bin111010010100111000011000…
…0010001011010001111101000
32111021112110021202000001000000
41310221300300101122033220
51014221200030241441404
65015052451240343000
7213031102561011441
oct16451606021321750
92437473252001000
10513043243312104
11139520465926a2a
124965b274174a60
1319036a0232643b
1490995d56b02c8
153e4a673673339
hex1d29c3045a3e8

513043243312104 has 112 divisors (see below), whose sum is σ = 1469487068338500. Its totient is φ = 167787727271424.

The previous prime is 513043243312091. The next prime is 513043243312207. The reversal of 513043243312104 is 401213342340315.

513043243312104 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 4 + 3 + 2 + 433 + 1 + 210 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 425431958504004 + 87611284808100 = 20626002^2 + 9360090^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 829600129 + ... + 830218320.

Almost surely, 2513043243312104 is an apocalyptic number.

513043243312104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

513043243312104 is an abundant number, since it is smaller than the sum of its proper divisors (956443825026396).

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

513043243312104 is a wasteful number, since it uses less digits than its factorization.

513043243312104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659818526 (or 1659818507 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 513043243312104 its reverse (401213342340315), we get a palindrome (914256585652419).

The spelling of 513043243312104 in words is "five hundred thirteen trillion, forty-three billion, two hundred forty-three million, three hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 477 486 636 648 729 954 972 1272 1431 1458 1908 1944 2862 2916 3816 4293 5724 5832 8586 11448 12879 17172 25758 34344 38637 51516 77274 103032 154548 309096 1659818449 3319636898 4979455347 6639273796 9958910694 13278547592 14938366041 19917821388 29876732082 39835642776 44815098123 59753464164 87970377797 89630196246 119506928328 134445294369 175940755594 179260392492 263911133391 268890588738 351881511188 358520784984 403335883107 527822266782 537781177476 703763022376 791733400173 806671766214 1055644533564 1075562354952 1210007649321 1583466800346 1613343532428 2111289067128 2375200200519 2420015298642 3166933600692 3226687064856 4750400401038 4840030597284 6333867201384 7125600601557 9500800802076 9680061194568 14251201203114 19001601604152 21376801804671 28502402406228 42753603609342 57004804812456 64130405414013 85507207218684 128260810828026 171014414437368 256521621656052 513043243312104