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422869280656 = 241727321312
BaseRepresentation
bin1100010011101001111…
…10010010011110010000
31111102111111011012100111
412021310332102132100
523412014013440111
6522132524131104
742360044402434
oct6116476223620
91442444135314
10422869280656
11153379759449
1269b56096a94
1330b515bc484
14166775849c4
15aeee4d6a21
hex6274f92790

422869280656 has 135 divisors (see below), whose sum is σ = 889212129843. Its totient is φ = 194773063680.

The previous prime is 422869280641. The next prime is 422869280683. The reversal of 422869280656 is 656082968224.

The square root of 422869280656 is 650284.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 53399815056 + 369469465600 = 231084^2 + 607840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 422869280656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3228009711 + ... + 3228009841.

Almost surely, 2422869280656 is an apocalyptic number.

422869280656 is the 650284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422869280656

422869280656 is an abundant number, since it is smaller than the sum of its proper divisors (466342849187).

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

422869280656 is an equidigital number, since it uses as much as digits as its factorization.

422869280656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 422869280656 in words is "four hundred twenty-two billion, eight hundred sixty-nine million, two hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 73 131 136 146 262 272 289 292 524 578 584 1048 1156 1168 1241 2096 2227 2312 2482 4454 4624 4964 5329 8908 9563 9928 10658 17161 17816 19126 19856 21097 21316 34322 35632 37859 38252 42194 42632 68644 75718 76504 84388 85264 90593 137288 151436 153008 162571 168776 181186 274576 291737 302872 325142 337552 362372 583474 605744 650284 698099 724744 1166948 1252753 1300568 1396198 1449488 1540081 2333896 2505506 2601136 2763707 2792396 3080162 4667792 4959529 5011012 5527414 5584792 6160324 9919058 10022024 11054828 11169584 11867683 12320648 19838116 20044048 21296801 22109656 23735366 24641296 39676232 42593602 44219312 47470732 79352464 85187204 91450969 94941464 170374408 182901938 189882928 201750611 340748816 362045617 365803876 403501222 724091234 731607752 807002444 1448182468 1463215504 1554666473 1614004888 2896364936 3109332946 3228009776 5792729872 6218665892 12437331784 24874663568 26429330041 52858660082 105717320164 211434640328 422869280656