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85303427696 = 24176779193307
BaseRepresentation
bin100111101110001111…
…0110000001001110000
322011011221110010002222
41033130132300021300
52344200134141241
6103104324300212
76106620112634
oct1173436601160
9264157403088
1085303427696
11331a4619883
1214647b41668
138075ac1706
1441b3262dc4
152343daea4b
hex13dc7b0270

85303427696 has 160 divisors (see below), whose sum is σ = 181378391040. Its totient is φ = 38714277888.

The previous prime is 85303427647. The next prime is 85303427701. The reversal of 85303427696 is 69672430358.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277861175 + ... + 277861481.

It is an arithmetic number, because the mean of its divisors is an integer number (1133614944).

Almost surely, 285303427696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85303427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90689195520).

85303427696 is an abundant number, since it is smaller than the sum of its proper divisors (96074963344).

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

85303427696 is a wasteful number, since it uses less digits than its factorization.

85303427696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 85303427696 in words is "eighty-five billion, three hundred three million, four hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 67 68 79 134 136 158 193 268 272 307 316 386 536 614 632 772 1072 1139 1228 1264 1343 1544 2278 2456 2686 3088 3281 4556 4912 5219 5293 5372 6562 9112 10438 10586 10744 12931 13124 15247 18224 20569 20876 21172 21488 24253 25862 26248 30494 41138 41752 42344 48506 51724 52496 59251 60988 82276 83504 84688 89981 97012 103448 118502 121976 164552 179962 194024 206896 219827 237004 243952 259199 329104 349673 359924 388048 412301 439654 474008 518398 699346 719848 824602 879308 948016 1007267 1021549 1036796 1398692 1439696 1624951 1649204 1758616 2014534 2043098 2073592 2797384 3249902 3298408 3517232 3969817 4029068 4086196 4147184 4680829 5594768 6499804 6596816 7939634 8058136 8172392 9361658 12999608 15879268 16116272 16344784 17366333 18723316 25999216 27624167 31758536 34732666 37446632 55248334 63517072 67486889 69465332 74893264 79574093 110496668 134973778 138930664 159148186 220993336 269947556 277861328 313615543 318296372 441986672 539895112 627231086 636592744 1079790224 1254462172 1273185488 2508924344 5017848688 5331464231 10662928462 21325856924 42651713848 85303427696