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39422500642756 = 2272112407712
BaseRepresentation
bin10001111011010110001000…
…01001011001111111000100
312011120202100212000001001101
420331223010021121333010
520131344240131032011
6215502240300505444
711206116213356200
oct1075530411317704
9164522325001041
1039422500642756
1111619a96963500
12450841784b284
1318cc6ab40aa6a
149a40b8697b00
1548570a4212c1
hex23dac4259fc4

39422500642756 has 81 divisors (see below), whose sum is σ = 88214081408271. Its totient is φ = 15359039110800.

The previous prime is 39422500642729. The next prime is 39422500642793. The reversal of 39422500642756 is 65724600522493.

The square root of 39422500642756 is 6278734.

It is a perfect power (a square), and thus also a powerful number.

39422500642756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 39422500642697 and 39422500642706.

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 26 ways as a sum of consecutive naturals, for example, 966904651 + ... + 966945421.

Almost surely, 239422500642756 is an apocalyptic number.

39422500642756 is the 6278734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39422500642756

39422500642756 is an abundant number, since it is smaller than the sum of its proper divisors (48791580765515).

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

39422500642756 is an frugal number, since it uses more digits than its factorization.

39422500642756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81582 (or 40791 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 39422500642756 in words is "thirty-nine trillion, four hundred twenty-two billion, five hundred million, six hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 847 1078 1694 2156 3388 5929 11858 23716 40771 81542 163084 285397 448481 570794 896962 1141588 1793924 1997779 3139367 3995558 4933291 6278734 7991116 9866582 12557468 19733164 21975569 34533037 43951138 69066074 87902276 138132148 241731259 483462518 966925036 1662274441 3324548882 6649097764 11635921087 18285018851 23271842174 36570037702 46543684348 73140075404 81451447609 127995131957 162902895218 201135207361 255990263914 325805790436 402270414722 511980527828 804540829444 895965923699 1407946451527 1791931847398 2815892903054 3583863694796 5631785806108 9855625160689 19711250321378 39422500642756