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30630112656336 = 2432232099164941
BaseRepresentation
bin1101111011011101000001…
…11110111111101111010000
311000110012200012211020210100
412331232200332333233100
513003320432320000321
6145051140212132400
76310644513530214
oct675564076775720
9130405605736710
1030630112656336
11983a181083a96
1235283a2907100
13141253a8b6cab
1477c710a02944
15381b5d5c5326
hex1bdba0fbfbd0

30630112656336 has 60 divisors (see below), whose sum is σ = 85725476439460. Its totient is φ = 10209596520960.

The previous prime is 30630112656331. The next prime is 30630112656347. The reversal of 30630112656336 is 63365621103603.

30630112656336 is a `hidden beast` number, since 3 + 0 + 6 + 3 + 0 + 1 + 1 + 2 + 6 + 5 + 633 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20587272782400 + 10042839873936 = 4537320^2 + 3169044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30630112656291 and 30630112656300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30630112656331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240375 + ... + 7924566.

Almost surely, 230630112656336 is an apocalyptic number.

30630112656336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30630112656336 is an abundant number, since it is smaller than the sum of its proper divisors (55095363783124).

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

30630112656336 is a wasteful number, since it uses less digits than its factorization.

30630112656336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188164 (or 9188155 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

Adding to 30630112656336 its reverse (63365621103603), we get a palindrome (93995733759939).

The spelling of 30630112656336 in words is "thirty trillion, six hundred thirty billion, one hundred twelve million, six hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23209 46418 69627 92836 139254 185672 208881 278508 371344 417762 557016 835524 1114032 1671048 3342096 9164941 18329882 27494823 36659764 54989646 73319528 82484469 109979292 146639056 164968938 219958584 329937876 439917168 659875752 1319751504 212709115669 425418231338 638127347007 850836462676 1276254694014 1701672925352 1914382041021 2552509388028 3403345850704 3828764082042 5105018776056 7657528164084 10210037552112 15315056328168 30630112656336