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20344202112 = 2731317323557
BaseRepresentation
bin10010111100100110…
…111110001110000000
31221111211012112210010
4102330212332032000
5313131103431422
613202422504520
71320101602413
oct227446761600
957454175703
1020344202112
11869a854183
123b39295140
131bc2ab0b20
14dadcc3b7a
157e10abb0c
hex4bc9be380

20344202112 has 128 divisors (see below), whose sum is σ = 58535033760. Its totient is φ = 6223306752.

The previous prime is 20344202093. The next prime is 20344202113. The reversal of 20344202112 is 21120244302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851838 + ... + 875394.

Almost surely, 220344202112 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 20344202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29267516880).

20344202112 is an abundant number, since it is smaller than the sum of its proper divisors (38190831648).

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

20344202112 is a wasteful number, since it uses less digits than its factorization.

20344202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23760 (or 23748 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20344202112 its reverse (21120244302), we get a palindrome (41464446414).

The spelling of 20344202112 in words is "twenty billion, three hundred forty-four million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 173 192 208 312 346 384 416 519 624 692 832 1038 1248 1384 1664 2076 2249 2496 2768 4152 4498 4992 5536 6747 8304 8996 11072 13494 16608 17992 22144 23557 26988 33216 35984 47114 53976 66432 70671 71968 94228 107952 141342 143936 188456 215904 282684 287872 306241 376912 431808 565368 612482 753824 863616 918723 1130736 1224964 1507648 1837446 2261472 2449928 3015296 3674892 4075361 4522944 4899856 7349784 8150722 9045888 9799712 12226083 14699568 16301444 19599424 24452166 29399136 32602888 39198848 48904332 52979693 58798272 65205776 97808664 105959386 117596544 130411552 158939079 195617328 211918772 260823104 317878158 391234656 423837544 521646208 635756316 782469312 847675088 1271512632 1564938624 1695350176 2543025264 3390700352 5086050528 6781400704 10172101056 20344202112