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634013832646331 = 19832106011909003
BaseRepresentation
bin1001000000101000011101100…
…1010001110000111010111011
310002010212010112002211212121222
42100022013121101300322323
51131100140312124140311
610124233533411222255
7250354662546343454
oct22012073121607273
93063763462755558
10634013832646331
1117401a835905585
125b1381658a798b
13212a032b789817
14b27c60cb0a12b
154d4724c528adb
hex240a1d9470ebb

634013832646331 has 16 divisors (see below), whose sum is σ = 675427301485440. Its totient is φ = 593404872091200.

The previous prime is 634013832646291. The next prime is 634013832646343. The reversal of 634013832646331 is 133646238310436.

It is a cyclic number.

It is not a de Polignac number, because 634013832646331 - 210 = 634013832645307 is a prime.

It is a super-2 number, since 2×6340138326463312 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634013832646361) 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 15 ways as a sum of consecutive naturals, for example, 331163276 + ... + 333072278.

It is an arithmetic number, because the mean of its divisors is an integer number (42214206342840).

Almost surely, 2634013832646331 is an apocalyptic number.

634013832646331 is a deficient number, since it is larger than the sum of its proper divisors (41413468839109).

634013832646331 is a wasteful number, since it uses less digits than its factorization.

634013832646331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119706.

The product of its (nonzero) digits is 13436928, while the sum is 53.

The spelling of 634013832646331 in words is "six hundred thirty-four trillion, thirteen billion, eight hundred thirty-two million, six hundred forty-six thousand, three hundred thirty-one".

Divisors: 1 19 83 1577 210601 1909003 4001419 17479883 36271057 158447249 332117777 3010497731 402037940803 7638720875257 33369149086649 634013832646331