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20122553412 = 22331336593917
BaseRepresentation
bin10010101111011001…
…011100110001000100
31220221101010121221000
4102233121130301010
5312202333202122
613124424053300
71311440611323
oct225731346104
956841117830
1020122553412
118596725235
123a97004230
131b88bb6b50
14d8c6a80ba
157cb8c80ac
hex4af65cc44

20122553412 has 96 divisors (see below), whose sum is σ = 56212329600. Its totient is φ = 6188282496.

The previous prime is 20122553411. The next prime is 20122553443. The reversal of 20122553412 is 21435522102.

20122553412 is a `hidden beast` number, since 2 + 0 + 122 + 5 + 534 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20122553411) 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 31 ways as a sum of consecutive naturals, for example, 5135278 + ... + 5139194.

It is an arithmetic number, because the mean of its divisors is an integer number (585545100).

Almost surely, 220122553412 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 20122553412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106164800).

20122553412 is an abundant number, since it is smaller than the sum of its proper divisors (36089776188).

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

20122553412 is a wasteful number, since it uses less digits than its factorization.

20122553412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 20122553412 in words is "twenty billion, one hundred twenty-two million, five hundred fifty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3659 3917 7318 7834 10977 11751 14636 15668 21954 23502 32931 35253 43908 47004 47567 50921 65862 70506 95134 98793 101842 105759 131724 141012 142701 152763 190268 197586 203684 211518 285402 305526 395172 423036 428103 458289 570804 611052 856206 916578 1284309 1374867 1712412 1833156 2568618 2749734 5137236 5499468 14332303 28664606 42996909 57329212 85993818 128990727 171987636 186319939 257981454 372639878 386972181 515962908 558959817 745279756 773944362 1117919634 1547888724 1676879451 2235839268 3353758902 5030638353 6707517804 10061276706 20122553412