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426948573401 = 76110973912413
BaseRepresentation
bin1100011011010000001…
…11100011100011011001
31111211000210001201222222
412031220013203203121
523443342313322101
6524045405353425
742563116665260
oct6155007434331
91454023051888
10426948573401
11155082380469
126a8b4268875
133135178436c
14169432595d7
15b18c6c101b
hex63681e38d9

426948573401 has 32 divisors (see below), whose sum is σ = 501207801600. Its totient is φ = 356142977280.

The previous prime is 426948573397. The next prime is 426948573461. The reversal of 426948573401 is 104375849624.

It is a cyclic number.

It is not a de Polignac number, because 426948573401 - 22 = 426948573397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (426948573461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34389071 + ... + 34401483.

It is an arithmetic number, because the mean of its divisors is an integer number (15662743800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅426948573401 = 853897146802, but 3⋅426948573401 = 1280845720203 is not.

Almost surely, 2426948573401 is an apocalyptic number.

It is an amenable number.

426948573401 is a deficient number, since it is larger than the sum of its proper divisors (74259228199).

426948573401 is a wasteful number, since it uses less digits than its factorization.

426948573401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13329.

The product of its (nonzero) digits is 5806080, while the sum is 53.

The spelling of 426948573401 in words is "four hundred twenty-six billion, nine hundred forty-eight million, five hundred seventy-three thousand, four hundred one".

Divisors: 1 7 61 109 427 739 763 5173 6649 12413 45079 46543 80551 86891 315553 563857 757193 1353017 4913611 5300351 9173207 9471119 34395277 64212449 82534037 559565627 577738259 999879563 3916959389 6999156941 60992653343 426948573401