Search a number
-
+
85412000752 = 24135310397457
BaseRepresentation
bin100111110001011110…
…0111011001111110000
322011110111202012100021
41033202330323033300
52344410433011002
6103123203333224
76112406012311
oct1174274731760
9264414665307
1085412000752
113324a936381
1214678381214
138092447420
1441c3846608
15234d6a9737
hex13e2f3b3f0

85412000752 has 80 divisors (see below), whose sum is σ = 181777115520. Its totient is φ = 38634725376.

The previous prime is 85412000741. The next prime is 85412000789. The reversal of 85412000752 is 25700021458.

It is a happy number.

It is a super-3 number, since 3×854120007523 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11450208 + ... + 11457664.

It is an arithmetic number, because the mean of its divisors is an integer number (2272213944).

Almost surely, 285412000752 is an apocalyptic number.

85412000752 is the 238624-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85412000752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90888557760).

85412000752 is an abundant number, since it is smaller than the sum of its proper divisors (96365114768).

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

85412000752 is a wasteful number, since it uses less digits than its factorization.

85412000752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8570 (or 8564 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The spelling of 85412000752 in words is "eighty-five billion, four hundred twelve million, seven hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 1039 1378 2078 2756 4156 5512 7457 8312 11024 13507 14914 16624 27014 29828 54028 55067 59656 96941 108056 110134 119312 193882 216112 220268 387764 395221 440536 715871 775528 790442 881072 1431742 1551056 1580884 2863484 3161768 5137873 5726968 6323536 7747823 10275746 11453936 15495646 20551492 30991292 41102984 61982584 82205968 100721699 123965168 201443398 402886796 410634619 805773592 821269238 1611547184 1642538476 3285076952 5338250047 6570153904 10676500094 21353000188 42706000376 85412000752