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212413421344 = 25294346311497
BaseRepresentation
bin1100010111010011010…
…0111001011100100000
3202022021110022211022111
43011310310321130200
511440010313440334
6241325324445104
721226542201535
oct3056464713440
9668243284274
10212413421344
11820a1925403
12352009a9794
13170520141c7
14a3d0998d8c
1557d315a064
hex3174d39720

212413421344 has 96 divisors (see below), whose sum is σ = 443664587520. Its totient is φ = 99934636032.

The previous prime is 212413421327. The next prime is 212413421347. The reversal of 212413421344 is 443124314212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (212413421347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18469804 + ... + 18481300.

It is an arithmetic number, because the mean of its divisors is an integer number (4621506120).

Almost surely, 2212413421344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212413421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221832293760).

212413421344 is an abundant number, since it is smaller than the sum of its proper divisors (231251166176).

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

212413421344 is a wasteful number, since it uses less digits than its factorization.

212413421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12034 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 212413421344 its reverse (443124314212), we get a palindrome (655537735556).

The spelling of 212413421344 in words is "two hundred twelve billion, four hundred thirteen million, four hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 463 464 688 926 928 1247 1376 1852 2494 3704 4988 7408 9976 11497 13427 14816 19909 19952 22994 26854 39818 39904 45988 53708 79636 91976 107416 159272 183952 214832 318544 333413 367904 429664 494371 577361 637088 666826 988742 1154722 1333652 1977484 2309444 2667304 3954968 4618888 5323111 5334608 7909936 9237776 10646222 10669216 14336759 15819872 18475552 21292444 28673518 42584888 57347036 85169776 114694072 154370219 170339552 228893773 229388144 308740438 457787546 458776288 617480876 915575092 1234961752 1831150184 2469923504 3662300368 4939847008 6637919417 7324600736 13275838834 26551677668 53103355336 106206710672 212413421344