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3331807704976 = 2417415792
BaseRepresentation
bin110000011110111111001…
…101101111011110010000
3102210111222102000010121111
4300132333031233132100
5414042020233024401
611030340014103104
7462500205133252
oct60367715573620
912714872003544
103331807704976
111075014653563
124598877aaa94
131b225a3b09ca
14b73905a3cd2
155ba045a7e51
hex307bf36f790

3331807704976 has 75 divisors (see below), whose sum is σ = 6863180221191. Its totient is φ = 1566916531968.

The previous prime is 3331807704899. The next prime is 3331807704983. The reversal of 3331807704976 is 6794077081333.

The square root of 3331807704976 is 1825324.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1034036799376 + 2297770905600 = 1016876^2 + 1515840^2 .

It is a super-2 number, since 2×33318077049762 (a number of 26 digits) contains 22 as substring.

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 3331807704976.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2110073755 + ... + 2110075333.

Almost surely, 23331807704976 is an apocalyptic number.

3331807704976 is the 1825324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331807704976

3331807704976 is an abundant number, since it is smaller than the sum of its proper divisors (3531372516215).

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

3331807704976 is an frugal number, since it uses more digits than its factorization.

3331807704976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 58.

The spelling of 3331807704976 in words is "three trillion, three hundred thirty-one billion, eight hundred seven million, seven hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1579 2312 3158 4624 4913 6316 9826 12632 19652 25264 26843 39304 53686 78608 83521 107372 167042 214744 334084 429488 456331 668168 912662 1336336 1825324 2493241 3650648 4986482 7301296 7757627 9972964 15515254 19945928 31030508 39891856 42385097 62061016 84770194 124122032 131879659 169540388 263759318 339080776 527518636 678161552 720546649 1055037272 1441093298 2110074544 2882186596 5764373192 11528746384 12249293033 24498586066 48997172132 97994344264 195988688528 208237981561 416475963122 832951926244 1665903852488 3331807704976