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20122552152 = 23321033138669
BaseRepresentation
bin10010101111011001…
…011100011101011000
31220221101010120012100
4102233121130131120
5312202333132102
613124424043400
71311440604543
oct225731343530
956841116170
1020122552152
11859672429a
123a97003560
131b88bb63c1
14d8c6a785a
157cb8c7a1c
hex4af65c758

20122552152 has 96 divisors (see below), whose sum is σ = 55209866400. Its totient is φ = 6620410368.

The previous prime is 20122552139. The next prime is 20122552169. The reversal of 20122552152 is 25125522102.

It is a happy number.

It is a super-2 number, since 2×201225521522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316874 + ... + 2325542.

It is an arithmetic number, because the mean of its divisors is an integer number (575102775).

Almost surely, 220122552152 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 20122552152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27604933200).

20122552152 is an abundant number, since it is smaller than the sum of its proper divisors (35087314248).

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

20122552152 is a wasteful number, since it uses less digits than its factorization.

20122552152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 20122552152 in words is "twenty billion, one hundred twenty-two million, five hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 313 412 618 626 824 927 939 1236 1252 1854 1878 2472 2504 2817 3708 3756 5634 7416 7512 8669 11268 17338 22536 26007 32239 34676 52014 64478 69352 78021 96717 104028 128956 156042 193434 208056 257912 290151 312084 386868 580302 624168 773736 892907 1160604 1785814 2321208 2678721 2713397 3571628 5357442 5426794 7143256 8036163 8140191 10714884 10853588 16072326 16280382 21429768 21707176 24420573 32144652 32560764 48841146 64289304 65121528 97682292 195364584 279479891 558959782 838439673 1117919564 1676879346 2235839128 2515319019 3353758692 5030638038 6707517384 10061276076 20122552152