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212334796804 = 221323724792
BaseRepresentation
bin1100010111000000100…
…0111110000000000100
3202022001222101021201111
43011300020332000010
511434330201444204
6241313435334404
721224565664504
oct3056010760004
9668058337644
10212334796804
1182061503649
123519a5b1404
131703b945c00
14a3c436da04
1557cb2c8d04
hex317023e004

212334796804 has 81 divisors (see below), whose sum is σ = 414402023007. Its totient is φ = 95152943808.

The previous prime is 212334796789. The next prime is 212334796829. The reversal of 212334796804 is 408697433212.

The square root of 212334796804 is 460798.

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 881971204 + 211452825600 = 29698^2 + 459840^2 .

It is a super-2 number, since 2×2123347968042 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 443287437 + ... + 443287915.

Almost surely, 2212334796804 is an apocalyptic number.

212334796804 is the 460798-th square number.

It is an amenable number.

212334796804 is a deficient number, since it is larger than the sum of its proper divisors (202067226203).

212334796804 is an equidigital number, since it uses as much as digits as its factorization.

212334796804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 212334796804 by its sum of digits (49), we get a square (10404405043396 = 32255862).

The spelling of 212334796804 in words is "two hundred twelve billion, three hundred thirty-four million, seven hundred ninety-six thousand, eight hundred four".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 479 481 676 958 962 1369 1916 1924 2738 5476 6227 6253 12454 12506 17723 17797 24908 25012 35446 35594 70892 71188 80951 161902 229441 230399 231361 323804 458882 460798 462722 655751 917764 921596 925444 1311502 2623004 2982733 2995187 5965466 5990374 8489317 8524763 11930932 11980748 16978634 17049526 33957268 34099052 38775529 77551058 110361121 110821919 155102116 220722242 221643838 314104729 441444484 443287676 628209458 1256418916 1434694573 2869389146 4083361477 5738778292 8166722954 16333445908 53083699201 106167398402 212334796804