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450668586503872 = 26114139436335449
BaseRepresentation
bin110011001111000010111010…
…1000000101000111011000000
32012002200111101122212211111001
41212132011311000220323000
5433032223231121110442
64234254142425301344
7163632505461025252
oct14636056500507300
92162614348784431
10450668586503872
111206625241a2830
1242666711934854
1316460b33250119
147d406940c5cd2
153717dce0ad2b7
hex199e175028ec0

450668586503872 has 112 divisors (see below), whose sum is σ = 976081967568000. Its totient is φ = 204747148892160.

The previous prime is 450668586503803. The next prime is 450668586503917. The reversal of 450668586503872 is 278305685866054.

It is a super-2 number, since 2×4506685865038722 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450668586503795 and 450668586503804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12713136004 + ... + 12713171452.

Almost surely, 2450668586503872 is an apocalyptic number.

It is an amenable number.

450668586503872 is an abundant number, since it is smaller than the sum of its proper divisors (525413381064128).

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

450668586503872 is a wasteful number, since it uses less digits than its factorization.

450668586503872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43974 (or 43964 counting only the distinct ones).

The product of its (nonzero) digits is 2322432000, while the sum is 73.

The spelling of 450668586503872 in words is "four hundred fifty trillion, six hundred sixty-eight billion, five hundred eighty-six million, five hundred three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 4139 4363 8278 8726 16556 17452 33112 34904 35449 45529 47993 66224 69808 70898 91058 95986 132448 139616 141796 182116 191972 264896 279232 283592 364232 383944 389939 567184 728464 767888 779878 1134368 1456928 1535776 1559756 2268736 2913856 3071552 3119512 6239024 12478048 18058457 24956096 36116914 72233828 144467656 146723411 154663987 198643027 288935312 293446822 309327974 397286054 577870624 586893644 618655948 794572108 1155741248 1173787288 1237311896 1589144216 1613957521 1701303857 2347574576 2474623792 3178288432 3227915042 3402607714 4695149152 4949247584 6356576864 6455830084 6805215428 9390298304 9898495168 12713153728 12911660168 13610430856 25823320336 27220861712 51646640672 54441723424 103293281344 108883446848 640154242193 1280308484386 2560616968772 5121233937544 7041696664123 10242467875088 14083393328246 20484935750176 28166786656492 40969871500352 56333573312984 112667146625968 225334293251936 450668586503872