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51013319999976 = 23322833251770101
BaseRepresentation
bin10111001100101011101101…
…10100010100000111101000
320200121211021222111210112100
423212111312310110013220
523141300234404444401
6300255110133413400
713513406424333255
oct1346256664240750
9220554258453470
1051013319999976
111528869a253124
12587a88179a260
1322606c64716b9
14c850b4ab842c
155d6e90987b86
hex2e6576d141e8

51013319999976 has 96 divisors (see below), whose sum is σ = 138692104967520. Its totient is φ = 16939119600000.

The previous prime is 51013319999933. The next prime is 51013319999977. The reversal of 51013319999976 is 67999991331015.

It is a happy number.

51013319999976 is a `hidden beast` number, since 51 + 0 + 1 + 331 + 9 + 99 + 99 + 76 = 666.

51013319999976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (51013319999977) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65857326 + ... + 66627426.

It is an arithmetic number, because the mean of its divisors is an integer number (1444709426745).

Almost surely, 251013319999976 is an apocalyptic number.

It is an amenable number.

51013319999976 is an abundant number, since it is smaller than the sum of its proper divisors (87678784967544).

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

51013319999976 is a wasteful number, since it uses less digits than its factorization.

51013319999976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773647 (or 773640 counting only the distinct ones).

The product of its (nonzero) digits is 111602610, while the sum is 72.

The spelling of 51013319999976 in words is "fifty-one trillion, thirteen billion, three hundred nineteen million, nine hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 283 566 849 1132 1698 2264 2547 3251 3396 5094 6502 6792 9753 10188 13004 19506 20376 26008 29259 39012 58518 78024 117036 234072 770101 920033 1540202 1840066 2310303 2760099 3080404 3680132 4620606 5520198 6160808 6930909 7360264 8280297 9241212 11040396 13861818 16560594 18482424 22080792 27723636 33121188 55447272 66242376 217938583 435877166 653815749 871754332 1307631498 1743508664 1961447247 2503598351 2615262996 3922894494 5007196702 5230525992 7510795053 7845788988 10014393404 15021590106 15691577976 20028786808 22532385159 30043180212 45064770318 60086360424 90129540636 180259081272 708518333333 1417036666666 2125554999999 2834073333332 4251109999998 5668146666664 6376664999997 8502219999996 12753329999994 17004439999992 25506659999988 51013319999976