Search a number
-
+
5307146417035 = 517711796837193
BaseRepresentation
bin100110100111010101010…
…0100111011001110001011
3200210100200011021202100201
41031032222210323032023
51143423013440321120
615142022554113031
71055300015141551
oct115165244731613
920710604252321
105307146417035
111766825882741
1271868871b777
132c6600641bb8
14144c1da79bd1
15930b74bc40a
hex4d3aa93b38b

5307146417035 has 64 divisors (see below), whose sum is σ = 6887399777280. Its totient is φ = 3911398543360.

The previous prime is 5307146417003. The next prime is 5307146417071.

It is a happy number.

5307146417035 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5307146417035 - 25 = 5307146417003 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 737817399 + ... + 737824591.

It is an arithmetic number, because the mean of its divisors is an integer number (107615621520).

Almost surely, 25307146417035 is an apocalyptic number.

5307146417035 is a deficient number, since it is larger than the sum of its proper divisors (1580253360245).

5307146417035 is a wasteful number, since it uses less digits than its factorization.

5307146417035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8148.

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 5307146417035 in words is "five trillion, three hundred seven billion, one hundred forty-six million, four hundred seventeen thousand, thirty-five".

Divisors: 1 5 17 71 85 179 355 683 895 1207 3043 3415 6035 7193 11611 12709 15215 35965 48493 58055 63545 122257 122281 216053 242465 510703 611285 611405 824381 1080265 1287547 2078369 2553515 4121905 4912819 6437735 8680247 8681951 10391845 21888299 24564095 43401235 43409755 83517923 91415837 109441495 147564199 348810149 417589615 457079185 737820995 879394601 1554069229 1744050745 4396973005 5929772533 7770346145 14949708217 29648862665 62437016671 74748541085 312185083355 1061429283407 5307146417035