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85003780212 = 223313241113591
BaseRepresentation
bin100111100101010011…
…1101100000001110100
322010102001121110001000
41033022213230001310
52343041431431322
6103014502003300
76066321132051
oct1171247540164
9263361543030
1085003780212
113306046622a
1214583716530
1380289b8200
144185542028
1523279203ac
hex13ca9ec074

85003780212 has 144 divisors (see below), whose sum is σ = 244459071360. Its totient is φ = 25516857600.

The previous prime is 85003780187. The next prime is 85003780219. The reversal of 85003780212 is 21208730058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85003780219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691537 + ... + 805127.

It is an arithmetic number, because the mean of its divisors is an integer number (1697632440).

Almost surely, 285003780212 is an apocalyptic number.

85003780212 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85003780212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122229535680).

85003780212 is an abundant number, since it is smaller than the sum of its proper divisors (159455291148).

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

85003780212 is a wasteful number, since it uses less digits than its factorization.

85003780212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113671 (or 113650 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 85003780212 in words is "eighty-five billion, three million, seven hundred eighty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 169 234 246 338 351 369 468 492 507 533 676 702 738 1014 1066 1107 1404 1476 1521 1599 2028 2132 2214 3042 3198 4428 4563 4797 6084 6396 6929 9126 9594 13858 14391 18252 19188 20787 27716 28782 41574 57564 62361 83148 113591 124722 187083 227182 249444 340773 374166 454364 681546 748332 1022319 1363092 1476683 2044638 2953366 3066957 4089276 4430049 4657231 5906732 6133914 8860098 9314462 12267828 13290147 13971693 17720196 18628924 19196879 26580294 27943386 38393758 39870441 41915079 53160588 55886772 57590637 60544003 76787516 79740882 83830158 115181274 121088006 125745237 159481764 167660316 172771911 181632009 230362548 242176012 251490474 345543822 363264018 502980948 518315733 544896027 691087644 726528036 787072039 1036631466 1089792054 1574144078 1634688081 2073262932 2179584108 2361216117 3148288156 3269376162 4722432234 6538752324 7083648351 9444864468 14167296702 21250945053 28334593404 42501890106 85003780212