Search a number
-
+
513152544540 = 2235191319341269
BaseRepresentation
bin1110111011110100100…
…01100110111100011100
31211001112111001012110210
413131322101212330130
531401414022411130
61031423343532420
752034253442266
oct7357221467434
91731474035423
10513152544540
11188699262919
12835518ba110
133950bccc8cc
141ab9dd3ab36
15d5356685b0
hex777a466f1c

513152544540 has 96 divisors (see below), whose sum is σ = 1513600704000. Its totient is φ = 129539872512.

The previous prime is 513152544539. The next prime is 513152544551. The reversal of 513152544540 is 45445251315.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1333026 + ... + 1674294.

It is an arithmetic number, because the mean of its divisors is an integer number (15766674000).

Almost surely, 2513152544540 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 513152544540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756800352000).

513152544540 is an abundant number, since it is smaller than the sum of its proper divisors (1000448159460).

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

513152544540 is a wasteful number, since it uses less digits than its factorization.

513152544540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342619 (or 342617 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

Adding to 513152544540 its reverse (45445251315), we get a palindrome (558597795855).

The spelling of 513152544540 in words is "five hundred thirteen billion, one hundred fifty-two million, five hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1319 2638 3957 5276 6595 7914 13190 15828 19785 25061 26380 39570 50122 75183 79140 100244 125305 150366 250610 300732 341269 375915 501220 682538 751830 1023807 1365076 1503660 1706345 2047614 3412690 4095228 5119035 6484111 6825380 10238070 12968222 19452333 20476140 25936444 32420555 38904666 64841110 77809332 97261665 129682220 194523330 389046660 450133811 900267622 1350401433 1800535244 2250669055 2700802866 4501338110 5401605732 6752007165 8552542409 9002676220 13504014330 17105084818 25657627227 27008028660 34210169636 42762712045 51315254454 85525424090 102630508908 128288136135 171050848180 256576272270 513152544540