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634505505436 = 221140995336997
BaseRepresentation
bin10010011101110110111…
…10011010101010011100
32020122202210001100102001
421032323132122222130
540343431402133221
61203253211012044
763561431544145
oct11167336325234
92218683040361
10634505505436
112251018a8540
12a2b7a73a024
1347aab5a5c4a
14229d2c2cacc
15117892c1391
hex93bb79aa9c

634505505436 has 48 divisors (see below), whose sum is σ = 1215597408480. Its totient is φ = 287396766720.

The previous prime is 634505505421. The next prime is 634505505463.

634505505436 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 17131690 + ... + 17168686.

It is an arithmetic number, because the mean of its divisors is an integer number (25324946010).

Almost surely, 2634505505436 is an apocalyptic number.

It is an amenable number.

634505505436 is a deficient number, since it is larger than the sum of its proper divisors (581091903044).

634505505436 is a wasteful number, since it uses less digits than its factorization.

634505505436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38374 (or 38372 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 46.

The spelling of 634505505436 in words is "six hundred thirty-four billion, five hundred five million, five hundred five thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 44 409 818 953 1636 1906 3812 4499 8998 10483 17996 20966 36997 41932 73994 147988 389777 406967 779554 813934 1559108 1627868 4287547 8575094 15131773 17150188 30263546 35258141 60527092 70516282 141032564 166449503 332899006 387839551 665798012 775679102 1551358204 14420579669 28841159338 57682318676 158626376359 317252752718 634505505436