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42779399883021 = 32149179883201833
BaseRepresentation
bin10011011101000010110101…
…11011110000100100001101
312121110200002221011020021200
421232201122323300210031
521101344202332224041
6230552330205420113
712003465260202534
oct1156413273604415
9177420087136250
1042779399883021
11126a3706a8288a
12496ab2656a639
131ab4106c93969
14a7c76943131b
154e2bcc72d1b6
hex26e85aef090d

42779399883021 has 48 divisors (see below), whose sum is σ = 62625860856000. Its totient is φ = 28137893204736.

The previous prime is 42779399883007. The next prime is 42779399883061. The reversal of 42779399883021 is 12038899397724.

42779399883021 is a `hidden beast` number, since 4 + 2 + 77 + 93 + 99 + 88 + 302 + 1 = 666.

42779399883021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42779399883021 - 26 = 42779399882957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42779399883061) 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 47 ways as a sum of consecutive naturals, for example, 211853521 + ... + 212055353.

It is an arithmetic number, because the mean of its divisors is an integer number (1304705434500).

Almost surely, 242779399883021 is an apocalyptic number.

It is an amenable number.

42779399883021 is a deficient number, since it is larger than the sum of its proper divisors (19846460972979).

42779399883021 is a wasteful number, since it uses less digits than its factorization.

42779399883021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203050 (or 203047 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 42779399883021 in words is "forty-two trillion, seven hundred seventy-nine billion, three hundred ninety-nine million, eight hundred eighty-three thousand, twenty-one".

Divisors: 1 3 9 149 179 447 537 883 1341 1611 2649 7947 26671 80013 131567 158057 201833 240039 394701 474171 605499 1184103 1422513 1816497 23550493 30073117 36128107 70651479 90219351 108384321 178218539 211954437 270658053 325152963 534655617 1603966851 5383087943 16149263829 26554562311 31901118481 48447791487 79663686933 95703355443 238991060799 287110066329 4753266653669 14259799961007 42779399883021