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40806708521766 = 2311312719061621
BaseRepresentation
bin10010100011101000011010…
…10111011010101100100110
312100111002020200022222010020
421101310031113122230212
520322034114340144031
6222442202035340010
711411121164250165
oct1121641527325446
9170432220288106
1040806708521766
111200303414a530
1246b0744151606
1319a0096344035
14a110ab7a53dc
154ab721e4e096
hex251d0d5dab26

40806708521766 has 96 divisors (see below), whose sum is σ = 93293240617728. Its totient is φ = 11798229240000.

The previous prime is 40806708521729. The next prime is 40806708521801. The reversal of 40806708521766 is 66712580760804.

40806708521766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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, 27565 + ... + 9034056.

It is an arithmetic number, because the mean of its divisors is an integer number (971804589768).

Almost surely, 240806708521766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40806708521766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46646620308864).

40806708521766 is an abundant number, since it is smaller than the sum of its proper divisors (52486532095962).

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

40806708521766 is a wasteful number, since it uses less digits than its factorization.

40806708521766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061770 (or 9061739 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 40806708521766 in words is "forty trillion, eight hundred six billion, seven hundred eight million, five hundred twenty-one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 71 93 142 186 213 341 426 682 781 961 1023 1562 1922 2046 2201 2343 2883 4402 4686 5766 6603 10571 13206 21142 24211 31713 48422 63426 68231 72633 136462 145266 204693 409386 750541 1501082 2251623 4503246 9061621 18123242 27184863 54369726 99677831 199355662 280910251 299033493 561820502 598066986 643375091 842730753 1286750182 1685461506 1930125273 3090012761 3860250546 6180025522 7077126001 8708217781 9270038283 14154252002 17416435562 18540076566 19944627821 21231378003 26124653343 39889255642 42462756006 52249306686 59833883463 95790395591 119667766926 191580791182 219390906031 287371186773 438781812062 574742373546 618283462451 658172718093 1236566924902 1316345436186 1854850387353 3709700774706 6801118086961 13602236173922 20403354260883 40806708521766