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212111020064 = 2537235913487
BaseRepresentation
bin1100010110001011001…
…1010101000000100000
3202021111101022020202002
43011202303111000200
511433400410120224
6241235323143132
721216210631256
oct3054263250040
9667441266662
10212111020064
1181a57160899
1235137674aa8
1317004485438
14a3a275c5d6
1557b68249ae
hex3162cd5020

212111020064 has 72 divisors (see below), whose sum is σ = 430412330880. Its totient is φ = 102894080256.

The previous prime is 212111020063. The next prime is 212111020067. The reversal of 212111020064 is 460020111212.

It is a happy number.

It is a super-2 number, since 2×2121110200642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212111020063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15720329 + ... + 15733815.

It is an arithmetic number, because the mean of its divisors is an integer number (5977949040).

Almost surely, 2212111020064 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 212111020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215206165440).

212111020064 is an abundant number, since it is smaller than the sum of its proper divisors (218301310816).

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

212111020064 is a wasteful number, since it uses less digits than its factorization.

212111020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13930 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212111020064 its reverse (460020111212), we get a palindrome (672131131276).

The spelling of 212111020064 in words is "two hundred twelve billion, one hundred eleven million, twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 359 592 718 1184 1369 1436 2738 2872 5476 5744 10952 11488 13283 13487 21904 26566 26974 43808 53132 53948 106264 107896 212528 215792 425056 431584 491471 499019 982942 998038 1965884 1996076 3931768 3992152 4841833 7863536 7984304 9683666 15727072 15968608 18463703 19367332 36927406 38734664 73854812 77469328 147709624 154938656 179147821 295419248 358295642 590838496 716591284 1433182568 2866365136 5732730272 6628469377 13256938754 26513877508 53027755016 106055510032 212111020064