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42884468603352 = 233522059911833
BaseRepresentation
bin10011100000000110100011…
…00001000111100111011000
312121211201022100111020200000
421300003101201013213120
521110104342430301402
6231112504121013000
712014205052452405
oct1160032141074730
9177751270436600
1042884468603352
1112734223592552
124987369924160
131ac0cac9431ac
14a838957212ac
154e57cb945c1c
hex2700d18479d8

42884468603352 has 48 divisors (see below), whose sum is σ = 120447118613640. Its totient is φ = 14294822867136.

The previous prime is 42884468603351. The next prime is 42884468603411. The reversal of 42884468603352 is 25330686448824.

42884468603352 is a `hidden beast` number, since 4 + 2 + 8 + 84 + 468 + 60 + 3 + 35 + 2 = 666.

It is a super-3 number, since 3×428844686033523 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42884468603352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42884468603351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11029953973 + ... + 11029957860.

Almost surely, 242884468603352 is an apocalyptic number.

It is an amenable number.

42884468603352 is an abundant number, since it is smaller than the sum of its proper divisors (77562650010288).

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

42884468603352 is a wasteful number, since it uses less digits than its factorization.

42884468603352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22059911854 (or 22059911838 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 63.

The spelling of 42884468603352 in words is "forty-two trillion, eight hundred eighty-four billion, four hundred sixty-eight million, six hundred three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 22059911833 44119823666 66179735499 88239647332 132359470998 176479294664 198539206497 264718941996 397078412994 529437883992 595617619491 794156825988 1191235238982 1588313651976 1786852858473 2382470477964 3573705716946 4764940955928 5360558575419 7147411433892 10721117150838 14294822867784 21442234301676 42884468603352