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450242521642264 = 231341173796376649
BaseRepresentation
bin110011001011111100100000…
…1100100001011010100011000
32012001011202122110200022011111
41212113321001210023110120
5433003233141020023024
64233330320424510104
7163556643261326131
oct14627710144132430
92161152573608144
10450242521642264
1112050886573a09a
12425b802561b334
131642c8c28ab660
147d27bd6386c88
15370bc9429ca94
hex1997e4190b518

450242521642264 has 128 divisors (see below), whose sum is σ = 936830980008000. Its totient is φ = 201536019210240.

The previous prime is 450242521642237. The next prime is 450242521642279. The reversal of 450242521642264 is 462246125242054.

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, 5874043812 + ... + 5874120460.

Almost surely, 2450242521642264 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 450242521642264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468415490004000).

450242521642264 is an abundant number, since it is smaller than the sum of its proper divisors (486588458365736).

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

450242521642264 is a wasteful number, since it uses less digits than its factorization.

450242521642264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84845 (or 84841 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 49.

The spelling of 450242521642264 in words is "four hundred fifty trillion, two hundred forty-two billion, five hundred twenty-one million, six hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 173 328 346 533 692 1066 1384 2132 2249 4264 4498 7093 7963 8996 14186 15926 17992 28372 31852 56744 63704 76649 92209 103519 153298 184418 207038 306596 326483 368836 414076 613192 652966 737672 828152 996437 1305932 1377599 1992874 2611864 2755198 3142609 3985748 4244279 5510396 6285218 7971496 8488558 11020792 12570436 13260277 16977116 17908787 25140872 26520554 33954232 35817574 40853917 53041108 56481559 71635148 81707834 106082216 112963118 143270296 163415668 172383601 225926236 326831336 344767202 451852472 543671357 610355987 689534404 734260267 1087342714 1220711974 1379068808 1468520534 2174685428 2441423948 2937041068 4349370856 4882847896 5874082136 7067727641 7934627831 14135455282 15869255662 25024595467 28270910564 31738511324 50049190934 56541821128 63477022648 100098381868 105591585751 200196763736 211183171502 325319741071 422366343004 650639482142 844732686008 1301278964284 1372690614763 2602557928568 2745381229526 4329255015791 5490762459052 8658510031582 10981524918104 17317020063164 34634040126328 56280315205283 112560630410566 225121260821132 450242521642264