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21150204006060 = 223252316730591287
BaseRepresentation
bin1001100111100011010100…
…11001011000111010101100
32202212221101002020000201100
410303301222121120322230
510233011104211143220
6112552134121443100
74312023525533013
oct463615231307254
982787332200640
1021150204006060
11681482985a928
122457074640490
13ba55c018956c
1453196519ba7a
1526a273077d90
hex133c6a658eac

21150204006060 has 144 divisors (see below), whose sum is σ = 67345863975936. Its totient is φ = 5362530070656.

The previous prime is 21150204006031. The next prime is 21150204006149. The reversal of 21150204006060 is 6060040205112.

21150204006060 is a `hidden beast` number, since 2 + 1 + 1 + 50 + 2 + 0 + 4 + 0 + 0 + 606 + 0 = 666.

It is a super-2 number, since 2×211502040060602 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 14604264 + ... + 15987023.

It is an arithmetic number, because the mean of its divisors is an integer number (467679610944).

Almost surely, 221150204006060 is an apocalyptic number.

21150204006060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21150204006060 is an abundant number, since it is smaller than the sum of its proper divisors (46195659969876).

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

21150204006060 is a wasteful number, since it uses less digits than its factorization.

21150204006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30591492 (or 30591487 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21150204006060 in words is "twenty-one trillion, one hundred fifty billion, two hundred four million, six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 167 180 207 230 276 334 345 414 460 501 668 690 828 835 1002 1035 1380 1503 1670 2004 2070 2505 3006 3340 3841 4140 5010 6012 7515 7682 10020 11523 15030 15364 19205 23046 30060 34569 38410 46092 57615 69138 76820 115230 138276 172845 230460 345690 691380 30591287 61182574 91773861 122365148 152956435 183547722 275321583 305912870 367095444 458869305 550643166 611825740 703599601 917738610 1101286332 1376607915 1407199202 1835477220 2110798803 2753215830 2814398404 3517998005 4221597606 5108744929 5506431660 6332396409 7035996010 8443195212 10217489858 10553994015 12664792818 14071992020 15326234787 20434979716 21107988030 25329585636 25543724645 30652469574 31661982045 42215976060 45978704361 51087449290 61304939148 63323964090 76631173935 91957408722 102174898580 117501133367 126647928180 153262347870 183914817444 229893521805 235002266734 306524695740 352503400101 459787043610 470004533468 587505666835 705006800202 919574087220 1057510200303 1175011333670 1410013600404 1762517000505 2115020400606 2350022667340 3525034001010 4230040801212 5287551001515 7050068002020 10575102003030 21150204006060