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20525206512 = 2434324141263
BaseRepresentation
bin10011000111011001…
…011100101111110000
31221222102210112010210
4103013121130233300
5314013423102022
613232410224120
71324430243136
oct230731345760
957872715123
1020525206512
118782a42498
123b89a25040
131c21446c15
14dc9d5d756
15801e12a0c
hex4c765cbf0

20525206512 has 80 divisors (see below), whose sum is σ = 54483004928. Its totient is φ = 6654735360.

The previous prime is 20525206483. The next prime is 20525206519. The reversal of 20525206512 is 21560252502.

It is a super-2 number, since 2×205252065122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20525206512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20525206519) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 476793 + ... + 518055.

Almost surely, 220525206512 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 20525206512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241502464).

20525206512 is an abundant number, since it is smaller than the sum of its proper divisors (33957798416).

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

20525206512 is a wasteful number, since it uses less digits than its factorization.

20525206512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41558 (or 41552 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 20525206512 in words is "twenty billion, five hundred twenty-five million, two hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 241 258 344 482 516 688 723 964 1032 1446 1928 2064 2892 3856 5784 10363 11568 20726 31089 41263 41452 62178 82526 82904 123789 124356 165052 165808 247578 248712 330104 495156 497424 660208 990312 1774309 1980624 3548618 5322927 7097236 9944383 10645854 14194472 19888766 21291708 28388944 29833149 39777532 42583416 59666298 79555064 85166832 119332596 159110128 238665192 427608469 477330384 855216938 1282825407 1710433876 2565650814 3420867752 5131301628 6841735504 10262603256 20525206512