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5021420013252 = 22327365915531867
BaseRepresentation
bin100100100010010001111…
…1101001100011011000100
3122210001011101122112122100
41021010203331030123010
51124232332010411002
614402450345432100
71025533316604306
oct111044375143304
918701141575570
105021420013252
111666632764555
1269122749b630
132a5696a06b16
141350764ad976
158a942e8711c
hex49123f4c6c4

5021420013252 has 144 divisors (see below), whose sum is σ = 12901640431680. Its totient is φ = 1646428944384.

The previous prime is 5021420013241. The next prime is 5021420013287. The reversal of 5021420013252 is 2523100241205.

5021420013252 is a `hidden beast` number, since 502 + 1 + 4 + 20 + 0 + 132 + 5 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2689565223 + ... + 2689567089.

It is an arithmetic number, because the mean of its divisors is an integer number (89594725220).

Almost surely, 25021420013252 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 5021420013252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450820215840).

5021420013252 is an abundant number, since it is smaller than the sum of its proper divisors (7880220418428).

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

5021420013252 is a wasteful number, since it uses less digits than its factorization.

5021420013252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 5021420013252 its reverse (2523100241205), we get a palindrome (7544520254457).

The spelling of 5021420013252 in words is "five trillion, twenty-one billion, four hundred twenty million, thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 659 876 1314 1318 1553 1867 1977 2628 2636 3106 3734 3954 4659 5601 5931 6212 7468 7908 9318 11202 11862 13977 16803 18636 22404 23724 27954 33606 48107 55908 67212 96214 113369 136291 144321 192428 226738 272582 288642 340107 408873 432963 453476 545164 577284 680214 817746 865926 1020321 1023427 1226619 1230353 1360428 1635492 1731852 2040642 2046854 2453238 2460706 2899451 3070281 3691059 4081284 4093708 4906476 4921412 5798902 6140562 7382118 8698353 9210843 11073177 11597804 12281124 14764236 17396706 18421686 22146354 26095059 34793412 36843372 44292708 52190118 74710171 89815769 104380236 149420342 179631538 211659923 224130513 269447307 298840684 359263076 423319846 448261026 538894614 634979769 672391539 808341921 846639692 896522052 1077789228 1269959538 1344783078 1616683842 1904939307 1910738209 2539919076 2689566156 3233367684 3809878614 3821476418 5732214627 7619757228 7642952836 11464429254 17196643881 22928858508 34393287762 68786575524 139483889257 278967778514 418451667771 557935557028 836903335542 1255355003313 1673806671084 2510710006626 5021420013252