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33497620420068 = 223272171117034161
BaseRepresentation
bin1111001110111010001011…
…10001000001010111100100
311101121100012202120120011200
413213131011301001113210
513342311111311420233
6155124332215202500
710025060155415100
oct747350561012744
9141540182516150
1033497620420068
11a74529649a642
123910091376430
13158ca7310094c
1483b417440900
153d153b2b0313
hex1e7745c415e4

33497620420068 has 108 divisors (see below), whose sum is σ = 104293011569292. Its totient is φ = 9007763466240.

The previous prime is 33497620420067. The next prime is 33497620420079. The reversal of 33497620420068 is 86002402679433.

33497620420068 is a `hidden beast` number, since 3 + 3 + 4 + 9 + 7 + 620 + 4 + 2 + 0 + 0 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19313493562944 + 14184126857124 = 4394712^2 + 3766182^2 .

It is a super-2 number, since 2×334976204200682 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33497620419996 and 33497620420023.

It is not an unprimeable number, because it can be changed into a prime (33497620420067) 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 35 ways as a sum of consecutive naturals, for example, 558487093 + ... + 558547068.

It is an arithmetic number, because the mean of its divisors is an integer number (965676033049).

Almost surely, 233497620420068 is an apocalyptic number.

It is an amenable number.

33497620420068 is an abundant number, since it is smaller than the sum of its proper divisors (70795391149224).

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

33497620420068 is a wasteful number, since it uses less digits than its factorization.

33497620420068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117034202 (or 1117034190 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 33497620420068 in words is "thirty-three trillion, four hundred ninety-seven billion, six hundred twenty million, four hundred twenty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 49 51 63 68 84 98 102 119 126 147 153 196 204 238 252 294 306 357 441 476 588 612 714 833 882 1071 1428 1666 1764 2142 2499 3332 4284 4998 7497 9996 14994 29988 1117034161 2234068322 3351102483 4468136644 6702204966 7819239127 10053307449 13404409932 15638478254 18989580737 20106614898 23457717381 31276956508 37979161474 40213229796 46915434762 54734673889 56968742211 70373152143 75958322948 93830869524 109469347778 113937484422 132927065159 140746304286 164204021667 170906226633 218938695556 227874968844 265854130318 281492608572 328408043334 341812453266 398781195477 492612065001 531708260636 656816086668 683624906532 797562390954 930489456113 985224130002 1196343586431 1595124781908 1860978912226 1970448260004 2392687172862 2791468368339 3721957824452 4785374345724 5582936736678 8374405105017 11165873473356 16748810210034 33497620420068