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12304133776 = 2411225212
BaseRepresentation
bin10110111010110001…
…00010111010010000
31011202111101202110101
423131120202322100
5200144324240101
65352532142144
7613623261064
oct133530427220
934674352411
1012304133776
1152443a9900
122474767954
13121117c03c
1484a189aa4
154c02e9401
hex2dd622e90

12304133776 has 45 divisors (see below), whose sum is σ = 26213881449. Its totient is φ = 5590569600.

The previous prime is 12304133773. The next prime is 12304133801. The reversal of 12304133776 is 67733140321.

The square root of 12304133776 is 110924.

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., 9759376 + 12294374400 = 3124^2 + 110880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12304133773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4879396 + ... + 4881916.

Almost surely, 212304133776 is an apocalyptic number.

12304133776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12304133776 is the 110924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12304133776

12304133776 is an abundant number, since it is smaller than the sum of its proper divisors (13909747673).

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

12304133776 is an frugal number, since it uses more digits than its factorization.

12304133776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

Multiplying 12304133776 by its product of nonzero digits (63504), we get a square (781361711311104 = 279528482).

The spelling of 12304133776 in words is "twelve billion, three hundred four million, one hundred thirty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 2521 5042 10084 20168 27731 40336 55462 110924 221848 305041 443696 610082 1220164 2440328 4880656 6355441 12710882 25421764 50843528 69909851 101687056 139819702 279639404 559278808 769008361 1118557616 1538016722 3076033444 6152066888 12304133776