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255371130539520 = 2935137632416003
BaseRepresentation
bin111010000100001000111001…
…100001011000111000000000
31020111012020112011111021102020
4322010020321201120320000
5231433000033404231040
62303043513334521440
7104534645451242622
oct7204107141307000
91214166464437366
10255371130539520
1174407319750346
1224784776b06280
13ac65518303748
14470c05893ac12
151e7cbc85a9cd0
hexe84239858e00

255371130539520 has 160 divisors (see below), whose sum is σ = 816449238582912. Its totient is φ = 68093991985152.

The previous prime is 255371130539423. The next prime is 255371130539521. The reversal of 255371130539520 is 25935031173552.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255371130539521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104491839 + ... + 106907841.

Almost surely, 2255371130539520 is an apocalyptic number.

255371130539520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255371130539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408224619291456).

255371130539520 is an abundant number, since it is smaller than the sum of its proper divisors (561078108043392).

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

255371130539520 is a wasteful number, since it uses less digits than its factorization.

255371130539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429792 (or 2429776 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 51.

The spelling of 255371130539520 in words is "two hundred fifty-five trillion, three hundred seventy-one billion, one hundred thirty million, five hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 13763 27526 41289 55052 68815 82578 110104 137630 165156 206445 220208 275260 330312 412890 440416 550520 660624 825780 880832 1101040 1321248 1651560 1761664 2202080 2416003 2642496 3303120 3523328 4404160 4832006 5284992 6606240 7046656 7248009 8808320 9664012 10569984 12080015 13212480 14496018 17616640 19328024 21139968 24160030 26424960 28992036 35233280 36240045 38656048 48320060 52849920 57984072 72480090 77312096 96640120 105699840 115968144 144960180 154624192 193280240 231936288 289920360 309248384 386560480 463872576 579840720 618496768 773120960 927745152 1159681440 1236993536 1546241920 1855490304 2319362880 3092483840 3710980608 4638725760 6184967680 9277451520 18554903040 33251449289 66502898578 99754347867 133005797156 166257246445 199508695734 266011594312 332514492890 399017391468 498771739335 532023188624 665028985780 798034782936 997543478670 1064046377248 1330057971560 1596069565872 1995086957340 2128092754496 2660115943120 3192139131744 3990173914680 4256185508992 5320231886240 6384278263488 7980347829360 8512371017984 10640463772480 12768556526976 15960695658720 17024742035968 21280927544960 25537113053952 31921391317440 42561855089920 51074226107904 63842782634880 85123710179840 127685565269760 255371130539520