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4901105256336 = 24321844872
BaseRepresentation
bin100011101010010000010…
…1000110100011110010000
3122100112121110012121211100
41013110200220310132100
51120244430421200321
614231311530544400
71014043646211252
oct107244050643620
918315543177740
104901105256336
11161a602166953
12671a4a298100
13297231555b73
1412d301431cd2
158775055a326
hex47520a34790

4901105256336 has 45 divisors (see below), whose sum is σ = 13716361975771. Its totient is φ = 1633692896736.

The previous prime is 4901105256323. The next prime is 4901105256343. The reversal of 4901105256336 is 6336525011094.

The square root of 4901105256336 is 2213844.

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

4901105256336 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 1 + 0 + 5 + 2 + 5 + 633 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4901105256291 and 4901105256300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26473885 + ... + 26658371.

Almost surely, 24901105256336 is an apocalyptic number.

4901105256336 is the 2213844-th square number.

It is an amenable number.

4901105256336 is an abundant number, since it is smaller than the sum of its proper divisors (8815256719435).

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

4901105256336 is an frugal number, since it uses more digits than its factorization.

4901105256336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368988 (or 184492 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

It can be divided in two parts, 4901105 and 256336, that added together give a square (5157441 = 22712).

The spelling of 4901105256336 in words is "four trillion, nine hundred one billion, one hundred five million, two hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 184487 368974 553461 737948 1106922 1475896 1660383 2213844 2951792 3320766 4427688 6641532 8855376 13283064 26566128 34035453169 68070906338 102106359507 136141812676 204212719014 272283625352 306319078521 408425438028 544567250704 612638157042 816850876056 1225276314084 1633701752112 2450552628168 4901105256336