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64161100505417 = 5315146133173783
BaseRepresentation
bin11101001011010101010111…
…00110101010000101001001
322102011202000102002211112012
432211222223212222011021
531402203413212133132
6344243111435225305
716341325611564416
oct1645525346520511
9272152012084465
1064161100505417
111949762a616943
127242a268a8235
1329a549a910576
1411bb5b17bb10d
15763e9de310b2
hex3a5aab9aa149

64161100505417 has 16 divisors (see below), whose sum is σ = 65806417467648. Its totient is φ = 62531907547200.

The previous prime is 64161100505393. The next prime is 64161100505471. The reversal of 64161100505417 is 71450500116146.

64161100505417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-64161100505417 is a prime.

It is a super-2 number, since 2×641611005054172 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64161100505017) 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, 369115508 + ... + 369289290.

It is an arithmetic number, because the mean of its divisors is an integer number (4112901091728).

Almost surely, 264161100505417 is an apocalyptic number.

It is an amenable number.

64161100505417 is a deficient number, since it is larger than the sum of its proper divisors (1645316962231).

64161100505417 is a wasteful number, since it uses less digits than its factorization.

64161100505417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220120.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 64161100505417 in words is "sixty-four trillion, one hundred sixty-one billion, one hundred million, five hundred five thousand, four hundred seventeen".

Divisors: 1 53 151 8003 46133 173783 2445049 6966083 9210499 26241233 369202399 1390785349 8017131139 424907950367 1210586801989 64161100505417