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85755484220504 = 23729109484450469
BaseRepresentation
bin10011011111111010000001…
…001011001010110001011000
3102020122010220010210222121212
4103133322001023022301120
542220004212430024004
6502215305305522252
724030425561603030
oct2337720113126130
9366563803728555
1085755484220504
112536277322438a
12974bba21a3388
1338b09273b0707
14172683247c8c0
159daa6c2ab96e
hex4dfe812cac58

85755484220504 has 64 divisors (see below), whose sum is σ = 191842386120000. Its totient is φ = 35159477165568.

The previous prime is 85755484220453. The next prime is 85755484220509. The reversal of 85755484220504 is 40502248455758.

It is a super-2 number, since 2×857554842205042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85755484220509) 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 15 ways as a sum of consecutive naturals, for example, 242048219 + ... + 242402250.

It is an arithmetic number, because the mean of its divisors is an integer number (2997537283125).

Almost surely, 285755484220504 is an apocalyptic number.

It is an amenable number.

85755484220504 is an abundant number, since it is smaller than the sum of its proper divisors (106086901899496).

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

85755484220504 is a wasteful number, since it uses less digits than its factorization.

85755484220504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484450620 (or 484450616 counting only the distinct ones).

The product of its (nonzero) digits is 71680000, while the sum is 59.

The spelling of 85755484220504 in words is "eighty-five trillion, seven hundred fifty-five billion, four hundred eighty-four million, two hundred twenty thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 109 116 203 218 232 406 436 763 812 872 1526 1624 3052 3161 6104 6322 12644 22127 25288 44254 88508 177016 484450469 968900938 1937801876 3391153283 3875603752 6782306566 13564613132 14049063601 27129226264 28098127202 52805101121 56196254404 98343445207 105610202242 112392508808 196686890414 211220404484 369635707847 393373780828 422440808968 739271415694 786747561656 1478542831388 1531347932509 2957085662776 3062695865018 6125391730036 10719435527563 12250783460072 21438871055126 42877742110252 85755484220504