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4335198708996 = 223413128832
BaseRepresentation
bin111111000101011101111…
…110101010010100000100
3120100102220110012102010000
4333011131332222110010
51032011441332141441
613115321321401300
7625131160011351
oct77053576522404
916312813172100
104335198708996
11142160271aa11
125a0235339230
13255a660727ac
1410db79115628
1577b7d89b2b6
hex3f15dfaa504

4335198708996 has 135 divisors (see below), whose sum is σ = 11433186208983. Its totient is φ = 1432411147440.

The previous prime is 4335198708991. The next prime is 4335198709013. The reversal of 4335198708996 is 6998078915334.

The square root of 4335198708996 is 2082114.

It is a perfect power (a square), and thus also a powerful number.

4335198708996 is a `hidden beast` number, since 4 + 33 + 519 + 8 + 70 + 8 + 9 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (4335198708991) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 4909624371 + ... + 4909625253.

Almost surely, 24335198708996 is an apocalyptic number.

4335198708996 is the 2082114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4335198708996

4335198708996 is an abundant number, since it is smaller than the sum of its proper divisors (7097987499987).

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

4335198708996 is an frugal number, since it uses more digits than its factorization.

4335198708996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 4335198708996 in words is "four trillion, three hundred thirty-five billion, one hundred ninety-eight million, seven hundred eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 131 162 262 324 393 524 786 883 1179 1572 1766 2358 2649 3532 3537 4716 5298 7074 7947 10596 10611 14148 15894 17161 21222 23841 31788 34322 42444 47682 51483 68644 71523 95364 102966 115673 143046 154449 205932 231346 286092 308898 347019 462692 463347 617796 694038 779689 926694 1041057 1388076 1390041 1559378 1853388 2082114 2339067 2780082 3118756 3123171 4164228 4678134 5560164 6246342 7017201 9356268 9369513 12492684 14034402 15153163 18739026 21051603 28068804 30306326 37478052 42103206 45459489 60612652 63154809 84206412 90918978 102139259 126309618 136378467 181837956 204278518 252619236 272756934 306417777 408557036 409135401 545513868 612835554 818270802 919253331 1225671108 1227406203 1636541604 1838506662 2454812406 2757759993 3677013324 4909624812 5515519986 8273279979 11031039972 13380242929 16546559958 26760485858 33093119916 40140728787 53520971716 80281457574 120422186361 160562915148 240844372722 361266559083 481688745444 722533118166 1083799677249 1445066236332 2167599354498 4335198708996