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5355524422224 = 2432531549745281
BaseRepresentation
bin100110111101110111000…
…1000010111101001010000
3200221222112201001001101200
41031323232020113221100
51200221103223002344
615220143254431200
71061631613326504
oct115735610275120
920858481031350
105355524422224
1117852a0a11009
12725b2a362500
132cb040347782
141472ccbcc304
159449976b069
hex4deee217a50

5355524422224 has 120 divisors (see below), whose sum is σ = 15272145848232. Its totient is φ = 1751340564480.

The previous prime is 5355524422187. The next prime is 5355524422267. The reversal of 5355524422224 is 4222244255535.

5355524422224 is a `hidden beast` number, since 5 + 35 + 552 + 4 + 42 + 2 + 2 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3864243829824 + 1491280592400 = 1965768^2 + 1221180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5355524422224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118250464 + ... + 118295744.

Almost surely, 25355524422224 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 5355524422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636072924116).

5355524422224 is an abundant number, since it is smaller than the sum of its proper divisors (9916621426008).

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

5355524422224 is a wasteful number, since it uses less digits than its factorization.

5355524422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60845 (or 60836 counting only the distinct ones).

The product of its digits is 3840000, while the sum is 45.

Adding to 5355524422224 its reverse (4222244255535), we get a palindrome (9577768677759).

The spelling of 5355524422224 in words is "five trillion, three hundred fifty-five billion, five hundred twenty-four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 15497 30994 45281 46491 61988 90562 92982 123976 135843 139473 181124 185964 247952 271686 278946 362248 371928 407529 543372 557892 724496 743856 815058 821341 1086744 1115784 1630116 1642682 2173488 2231568 2399893 2464023 3260232 3285364 4799786 4928046 6520464 6570728 7199679 7392069 9599572 9856092 13141456 14399358 14784138 19199144 19712184 21599037 28798716 29568276 38398288 39424368 43198074 57597432 59136552 86396148 115194864 118273104 172792296 345584592 701719657 1403439314 2105158971 2806878628 4210317942 5613757256 6315476913 8420635884 11227514512 12630953826 16841271768 25261907652 33682543536 37191141821 50523815304 74382283642 101047630608 111573425463 148764567284 223146850926 297529134568 334720276389 446293701852 595058269136 669440552778 892587403704 1338881105556 1785174807408 2677762211112 5355524422224