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212161604032 = 267837977159
BaseRepresentation
bin1100010110010111010…
…0010010100111000000
3202021121220111011220101
43011211310102213000
511434001332312112
6241244331252144
721220363610350
oct3054564224700
9667556434811
10212161604032
1181a82770324
12351505aa054
1317011ab6591
14a3a9368b60
1557baeb7757
hex3165d129c0

212161604032 has 112 divisors (see below), whose sum is σ = 487628305920. Its totient is φ = 89705659392.

The previous prime is 212161604027. The next prime is 212161604051. The reversal of 212161604032 is 230406161212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29632069 + ... + 29639227.

It is an arithmetic number, because the mean of its divisors is an integer number (4353824160).

Almost surely, 2212161604032 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 212161604032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243814152960).

212161604032 is an abundant number, since it is smaller than the sum of its proper divisors (275466701888).

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

212161604032 is an equidigital number, since it uses as much as digits as its factorization.

212161604032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058 (or 8048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 212161604032 its reverse (230406161212), we get a palindrome (442567765244).

The spelling of 212161604032 in words is "two hundred twelve billion, one hundred sixty-one million, six hundred four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 112 166 224 332 448 581 664 797 1162 1328 1594 2324 2656 3188 4648 5312 5579 6376 7159 9296 11158 12752 14318 18592 22316 25504 28636 37184 44632 50113 51008 57272 66151 89264 100226 114544 132302 178528 200452 229088 264604 357056 400904 458176 463057 529208 594197 801808 926114 1058416 1188394 1603616 1852228 2116832 2376788 3207232 3704456 4159379 4233664 4753576 5705723 7408912 8318758 9507152 11411446 14817824 16637516 19014304 22822892 29635648 33275032 38028608 39940061 45645784 66550064 79880122 91291568 133100128 159760244 182583136 266200256 319520488 365166272 473575009 639040976 947150018 1278081952 1894300036 2556163904 3315025063 3788600072 6630050126 7577200144 13260100252 15154400288 26520200504 30308800576 53040401008 106080802016 212161604032