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4245020205424 = 24231011072933643
BaseRepresentation
bin111101110001011110111…
…010111110000101110000
3120000211010202102210010021
4331301132322332011300
51024022300133033144
613010045123213224
7615456362251255
oct75613672760560
916024122383107
104245020205424
111397337269509
12586868817214
1324a3c42817cb
1410966262d42c
1575651a0e884
hex3dc5eebe170

4245020205424 has 160 divisors (see below), whose sum is σ = 8780567007744. Its totient is φ = 1983998438400.

The previous prime is 4245020205409. The next prime is 4245020205473.

It is a happy number.

4245020205424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4245020205424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1165252147 + ... + 1165255789.

Almost surely, 24245020205424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245020205424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390283503872).

4245020205424 is an abundant number, since it is smaller than the sum of its proper divisors (4535546802320).

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

4245020205424 is a wasteful number, since it uses less digits than its factorization.

4245020205424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 34.

The spelling of 4245020205424 in words is "four trillion, two hundred forty-five billion, twenty million, two hundred five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 101 107 184 202 214 293 368 404 428 586 808 856 1172 1616 1712 2323 2344 2461 3643 4646 4688 4922 6739 7286 9292 9844 10807 13478 14572 18584 19688 21614 26956 29144 29593 31351 37168 39376 43228 53912 58288 59186 62702 83789 86456 107824 118372 125404 167578 172912 236744 248561 250808 335156 367943 389801 473488 497122 501616 670312 680639 721073 735886 779602 994244 1067399 1340624 1361278 1442146 1471772 1559204 1988488 2134798 2722556 2884292 2943544 3118408 3166451 3976976 4269596 5445112 5768584 5887088 6236816 6332902 8462689 8539192 8965423 10890224 11537168 12665804 16925378 17078384 17930846 24550177 25331608 33850756 35861692 39369901 49100354 50663216 67701512 71723384 72828373 78739802 98200708 107807299 114211693 135403024 143446768 145656746 157479604 196401416 215614598 228423386 291313492 314959208 392802832 431229196 456846772 582626984 629918416 862458392 905507723 913693544 1165253968 1724916784 1811015446 1827387088 2479567877 2626868939 3622030892 4959135754 5253737878 7244061784 9918271508 10507475756 11535380993 14488123568 19836543016 21014951512 23070761986 39673086032 42029903024 46141523972 92283047944 184566095888 265313762839 530627525678 1061255051356 2122510102712 4245020205424