Search a number
-
+
5807832784240 = 2452324731276357
BaseRepresentation
bin101010010000011110111…
…0011110101110101110000
3202120020000212000112101211
41110200331303311311300
51230123420143043430
620204025340405504
71136413340062624
oct124407563656560
922506025015354
105807832784240
11193a0a7218a63
1279971b546894
133318a3a37ac6
1416115a0c9184
15a111d4cd72a
hex5483dcf5d70

5807832784240 has 80 divisors (see below), whose sum is σ = 14096016065088. Its totient is φ = 2221227030528.

The previous prime is 5807832784231. The next prime is 5807832784253. The reversal of 5807832784240 is 424872387085.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3912142 + ... + 5188498.

Almost surely, 25807832784240 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 5807832784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048008032544).

5807832784240 is an abundant number, since it is smaller than the sum of its proper divisors (8288183280848).

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

5807832784240 is a wasteful number, since it uses less digits than its factorization.

5807832784240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278866 (or 1278860 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 58.

The spelling of 5807832784240 in words is "five trillion, eight hundred seven billion, eight hundred thirty-two million, seven hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2473 4946 9892 12365 19784 24730 39568 49460 56879 98920 113758 197840 227516 284395 455032 568790 910064 1137580 1276357 2275160 2552714 4550320 5105428 6381785 10210856 12763570 20421712 25527140 29356211 51054280 58712422 102108560 117424844 146781055 234849688 293562110 469699376 587124220 1174248440 2348496880 3156430861 6312861722 12625723444 15782154305 25251446888 31564308610 50502893776 63128617220 72597909803 126257234440 145195819606 252514468880 290391639212 362989549015 580783278424 725979098030 1161566556848 1451958196060 2903916392120 5807832784240