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500146138417920 = 2835235662886531
BaseRepresentation
bin111000110111000010101100…
…0111010101000101100000000
32102120212111121022210110112120
41301232011120322220230000
51011023343242413333140
64531415544123124240
7210230236362133221
oct16156053072505400
92376774538713476
10500146138417920
111353a8871399175
1248117809973680
131860c769bc6927
148b712b9009248
153cc4e3749a1d0
hex1c6e158ea8b00

500146138417920 has 144 divisors (see below), whose sum is σ = 1666791370282752. Its totient is φ = 127573507747840.

The previous prime is 500146138417853. The next prime is 500146138417951. The reversal of 500146138417920 is 29714831641005.

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, 2831354946 + ... + 2831531585.

It is an arithmetic number, because the mean of its divisors is an integer number (11574940071408).

It is a 2-persistent number, because it is pandigital, and so is 2⋅500146138417920 = 1000292276835840, but 3⋅500146138417920 = 1500438415253760 is not.

Almost surely, 2500146138417920 is an apocalyptic number.

It is an amenable number.

500146138417920 is an abundant number, since it is smaller than the sum of its proper divisors (1166645231864832).

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

500146138417920 is a wasteful number, since it uses less digits than its factorization.

500146138417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662886578 (or 5662886564 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 500146138417920 in words is "five hundred trillion, one hundred forty-six billion, one hundred thirty-eight million, four hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 5520 5888 7360 8832 11040 14720 17664 22080 29440 44160 88320 5662886531 11325773062 16988659593 22651546124 28314432655 33977319186 45303092248 56628865310 67954638372 84943297965 90606184496 113257730620 130246390213 135909276744 169886595930 181212368992 226515461240 260492780426 271818553488 339773191860 362424737984 390739170639 453030922480 520985560852 543637106976 651231951065 679546383720 724849475968 781478341278 906061844960 1041971121704 1087274213952 1302463902130 1359092767440 1449698951936 1562956682556 1812123689920 1953695853195 2083942243408 2174548427904 2604927804260 2718185534880 3125913365112 3624247379840 3907391706390 4167884486816 4349096855808 5209855608520 5436371069760 6251826730224 7248494759680 7814783412780 8335768973632 10419711217040 10872742139520 12503653460448 15629566825560 16671537947264 20839422434080 21745484279040 25007306920896 31259133651120 33343075894528 41678844868160 50014613841792 62518267302240 83357689736320 100029227683584 125036534604480 166715379472640 250073069208960 500146138417920