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20431421512152 = 23372333691141413
BaseRepresentation
bin1001010010101000011111…
…00111110001100111011000
32200100020001220011002002220
410221110033213301213120
510134222022401342102
6111242022050224040
74206056446252020
oct451241747614730
980306056132086
1020431421512152
116567a0a8855a2
12235b8b5885020
13b528a0658401
14508c5957aa80
1525670509c1bc
hex12950f9f19d8

20431421512152 has 128 divisors (see below), whose sum is σ = 58642326812160. Its totient is φ = 5810879278080.

The previous prime is 20431421512123. The next prime is 20431421512169. The reversal of 20431421512152 is 25121512413402.

It is a super-2 number, since 2×204314215121522 (a number of 27 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144409798 + ... + 144551210.

It is an arithmetic number, because the mean of its divisors is an integer number (458143178220).

Almost surely, 220431421512152 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 20431421512152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29321163406080).

20431421512152 is an abundant number, since it is smaller than the sum of its proper divisors (38210905300008).

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

20431421512152 is a wasteful number, since it uses less digits than its factorization.

20431421512152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145353 (or 145349 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 20431421512152 its reverse (25121512413402), we get a palindrome (45552933925554).

The spelling of 20431421512152 in words is "twenty trillion, four hundred thirty-one billion, four hundred twenty-one million, five hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 3691 4893 5592 6524 7382 9786 11073 13048 14764 19572 22146 25837 29528 39144 44292 51674 77511 88584 103348 141413 155022 206696 282826 310044 424239 565652 620088 848478 860003 989891 1131304 1696956 1720006 1979782 2580009 2969673 3393912 3440012 3959564 5160018 5939346 6020021 6880024 7919128 10320036 11878692 12040042 18060063 20640072 23757384 24080084 32949229 36120126 48160168 65898458 72240252 98847687 131796916 144480504 197695374 230644603 263593832 395390748 461289206 521955383 691933809 790781496 922578412 1043910766 1383867618 1565866149 1845156824 2087821532 2767735236 3131732298 3653687681 4175643064 5535470472 6263464596 7307375362 10961063043 12526929192 14614750724 21922126086 29229501448 43844252172 87688504344 121615604239 243231208478 364846812717 486462416956 729693625434 851309229673 972924833912 1459387250868 1702618459346 2553927689019 2918774501736 3405236918692 5107855378038 6810473837384 10215710756076 20431421512152