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330904258719076 = 227212993412
BaseRepresentation
bin100101100111101001010011…
…0110010111010110101100100
31121101122010201201221202212201
41023033102212302322311210
5321333013410213002301
63131435152354024244
7126462021002361400
oct11317224662726544
91541563651852781
10330904258719076
1196488787433009
1231143566878084
13112841a36c7a83
145b9dbcca28100
15283c8a4992201
hex12cf4a6cbad64

330904258719076 has 27 divisors (see below), whose sum is σ = 673627045115577. Its totient is φ = 141816001734960.

The previous prime is 330904258719059. The next prime is 330904258719121. The reversal of 330904258719076 is 670917852409033.

The square root of 330904258719076 is 18190774.

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

It can be written as a sum of positive squares in only one way, i.e., 4973230045476 + 325931028673600 = 2230074^2 + 18053560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 330904258718999 and 330904258719017.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254021166 + ... + 255320506.

It is a 1-persistent number, because it is pandigital, but 2⋅330904258719076 = 661808517438152 is not.

Almost surely, 2330904258719076 is an apocalyptic number.

330904258719076 is the 18190774-th square number.

It is an amenable number.

330904258719076 is an abundant number, since it is smaller than the sum of its proper divisors (342722786396501).

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

330904258719076 is an frugal number, since it uses more digits than its factorization.

330904258719076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598700 (or 1299350 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 330904258719076 in words is "three hundred thirty trillion, nine hundred four billion, two hundred fifty-eight million, seven hundred nineteen thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 1299341 2598682 5197364 9095387 18190774 36381548 63667709 127335418 254670836 1688287034281 3376574068562 6753148137124 11818009239967 23636018479934 47272036959868 82726064679769 165452129359538 330904258719076