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3585000012 = 2231147619473
BaseRepresentation
bin1101010110101110…
…1100001001001100
3100020211210212111020
43111223230021030
524320230000022
61351422554140
7154560666036
oct32553541114
910224725436
103585000012
11157a703630
12840738950
1345195a7a9
142601a6c56
1515eaec35c
hexd5aec24c

3585000012 has 96 divisors (see below), whose sum is σ = 9473393664. Its totient is φ = 1045708800.

The previous prime is 3584999989. The next prime is 3585000031. The reversal of 3585000012 is 2100005853.

3585000012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 373708 + ... + 383180.

It is an arithmetic number, because the mean of its divisors is an integer number (98681184).

Almost surely, 23585000012 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 3585000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736696832).

3585000012 is an abundant number, since it is smaller than the sum of its proper divisors (5888393652).

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

3585000012 is a wasteful number, since it uses less digits than its factorization.

3585000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9599 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 3585000012 is about 59874.8696198998. The cubic root of 3585000012 is about 1530.4872658792.

Adding to 3585000012 its reverse (2100005853), we get a palindrome (5685005865).

The spelling of 3585000012 in words is "three billion, five hundred eighty-five million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 44 47 61 66 94 122 132 141 183 188 244 282 366 517 564 671 732 1034 1342 1551 2013 2068 2684 2867 3102 4026 5734 6204 8052 8601 9473 11468 17202 18946 28419 31537 34404 37892 56838 63074 94611 104203 113676 126148 189222 208406 312609 378444 416812 445231 577853 625218 890462 1155706 1250436 1335693 1733559 1780924 2311412 2671386 3467118 4897541 5342772 6356383 6934236 9795082 12712766 14692623 19069149 19590164 25425532 27159091 29385246 38138298 54318182 58770492 76276596 81477273 108636364 162954546 298750001 325909092 597500002 896250003 1195000004 1792500006 3585000012