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42744017966 = 21317296154667
BaseRepresentation
bin100111110011101111…
…011111010000101110
311002022220102002111112
4213303233133100232
51200014432033331
631345240352022
73042144105116
oct476357372056
9132286362445
1042744017966
111714497a391
12834aa75612
13405270b630
1420d6bbc046
1511a286432b
hex9f3bdf42e

42744017966 has 64 divisors (see below), whose sum is σ = 76871954880. Its totient is φ = 17633064960.

The previous prime is 42744017951. The next prime is 42744017969. The reversal of 42744017966 is 66971044724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42744017969) 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 31 ways as a sum of consecutive naturals, for example, 754565 + ... + 809231.

It is an arithmetic number, because the mean of its divisors is an integer number (1201124295).

Almost surely, 242744017966 is an apocalyptic number.

42744017966 is a deficient number, since it is larger than the sum of its proper divisors (34127936914).

42744017966 is a wasteful number, since it uses less digits than its factorization.

42744017966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54789.

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 42744017966 in words is "forty-two billion, seven hundred forty-four million, seventeen thousand, nine hundred sixty-six".

Divisors: 1 2 13 17 26 29 34 58 61 122 221 377 442 493 754 793 986 1037 1586 1769 2074 3538 6409 12818 13481 22997 26962 30073 45994 54667 60146 109334 390949 710671 781898 929339 1421342 1585343 1858678 3170686 3334687 6669374 12081407 20609459 24162814 26950831 41218918 43350931 53901662 56689679 86701862 96705923 113379358 193411846 350360803 700721606 736965827 1257176999 1473931654 1644000691 2514353998 3288001382 21372008983 42744017966