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5082233705040 = 243561792743793
BaseRepresentation
bin100100111110100110010…
…1111000001001001010000
3122222212010121100011200110
41021331030233001021100
51131231403312030130
614450425042121320
71033115326502262
oct111751457011120
918885117304613
105082233705040
11168a3aa484268
126a0b79950240
132ab338bcbc2b
14137da5053b32
158c301d68ab0
hex49f4cbc1250

5082233705040 has 160 divisors (see below), whose sum is σ = 16015587722496. Its totient is φ = 1332846305280.

The previous prime is 5082233705023. The next prime is 5082233705051. The reversal of 5082233705040 is 405073322805.

It is a self number, because there is not a number n which added to its sum of digits gives 5082233705040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116029384 + ... + 116073176.

Almost surely, 25082233705040 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 5082233705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007793861248).

5082233705040 is an abundant number, since it is smaller than the sum of its proper divisors (10933354017456).

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

5082233705040 is a wasteful number, since it uses less digits than its factorization.

5082233705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51797 (or 51791 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 5082233705040 in words is "five trillion, eighty-two billion, two hundred thirty-three million, seven hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 7927 14640 15854 23781 31708 39635 43793 47562 63416 79270 87586 95124 118905 126832 131379 158540 175172 190248 218965 237810 262758 317080 350344 380496 437930 475620 483547 525516 634160 656895 700688 875860 951240 967094 1051032 1313790 1450641 1751720 1902480 1934188 2102064 2417735 2627580 2671373 2901282 3503440 3868376 4835470 5255160 5342746 5802564 7253205 7736752 8014119 9670940 10510320 10685492 11605128 13356865 14506410 16028238 19341880 21370984 23210256 26713730 29012820 32056476 38683760 40070595 42741968 53427460 58025640 64112952 80141190 106854920 116051280 128225904 160282380 213709840 320564760 347147111 641129520 694294222 1041441333 1388588444 1735735555 2082882666 2777176888 3471471110 4165765332 5207206665 5554353776 6942942220 8331530664 10414413330 13885884440 16663061328 20828826660 21175973771 27771768880 41657653320 42351947542 63527921313 83315306640 84703895084 105879868855 127055842626 169407790168 211759737710 254111685252 317639606565 338815580336 423519475420 508223370504 635279213130 847038950840 1016446741008 1270558426260 1694077901680 2541116852520 5082233705040