Search a number
-
+
6130105405845 = 356733131841113
BaseRepresentation
bin101100100110100011011…
…0000010101000110010101
3210201000212120210222011020
41121031012300111012111
51300413423440441340
621012044225231353
71201612504134201
oct131150660250625
923630776728136
106130105405845
111a53843765553
1283007ba92559
133560b301b845
141729ad295b01
15a96d11bc9d0
hex59346c15195

6130105405845 has 32 divisors (see below), whose sum is σ = 9957569331072. Its totient is φ = 3219618834432.

The previous prime is 6130105405817. The next prime is 6130105405927. The reversal of 6130105405845 is 5485045010316.

It is not a de Polignac number, because 6130105405845 - 219 = 6130104881557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6130105405797 and 6130105405806.

It is a congruent number.

It is an unprimeable number.

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, 2409009 + ... + 4250121.

It is an arithmetic number, because the mean of its divisors is an integer number (311174041596).

Almost surely, 26130105405845 is an apocalyptic number.

It is an amenable number.

6130105405845 is a deficient number, since it is larger than the sum of its proper divisors (3827463925227).

6130105405845 is a wasteful number, since it uses less digits than its factorization.

6130105405845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844501.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 6130105405845 in words is "six trillion, one hundred thirty billion, one hundred five million, four hundred five thousand, eight hundred forty-five".

Divisors: 1 3 5 15 67 201 335 1005 3313 9939 16565 49695 221971 665913 1109855 1841113 3329565 5523339 9205565 27616695 123354571 370063713 616772855 1850318565 6099607369 18298822107 30498036845 91494110535 408673693723 1226021081169 2043368468615 6130105405845