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42726870684048 = 24335931473716811
BaseRepresentation
bin10011011011100000111111…
…11100110001000110010000
312121021122112002012102220210
421231300133330301012100
521100014112343342143
6230512241534404120
711666625454320045
oct1155603774610620
9177248462172823
1042726870684048
1112683400683151
124960906660640
131aac1852402c5
14a79dc4c4d1cc
154e1655ce1033
hex26dc1ff31190

42726870684048 has 80 divisors (see below), whose sum is σ = 110422529487936. Its totient is φ = 14236513259520.

The previous prime is 42726870684019. The next prime is 42726870684061. The reversal of 42726870684048 is 84048607862724.

42726870684048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42726870684048.

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 15 ways as a sum of consecutive naturals, for example, 2541593563 + ... + 2541610373.

Almost surely, 242726870684048 is an apocalyptic number.

42726870684048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42726870684048 is an abundant number, since it is smaller than the sum of its proper divisors (67695658803888).

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

42726870684048 is a wasteful number, since it uses less digits than its factorization.

42726870684048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35152 (or 35146 counting only the distinct ones).

The product of its (nonzero) digits is 231211008, while the sum is 66.

The spelling of 42726870684048 in words is "forty-two trillion, seven hundred twenty-six billion, eight hundred seventy million, six hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 3593 7186 10779 14372 14737 16811 21558 28744 29474 33622 43116 44211 50433 57488 58948 67244 86232 88422 100866 117896 134488 172464 176844 201732 235792 268976 353688 403464 707376 806928 52950041 60401923 105900082 120803846 158850123 181205769 211800164 241607692 247743707 317700246 362411538 423600328 483215384 495487414 635400492 724823076 743231121 847200656 966430768 990974828 1270800984 1449646152 1486462242 1981949656 2541601968 2899292304 2972924484 3963899312 5945848968 11891697936 890143139251 1780286278502 2670429417753 3560572557004 5340858835506 7121145114008 10681717671012 14242290228016 21363435342024 42726870684048