Search a number
-
+
87065201249039 = 13411731795274949
BaseRepresentation
bin10011110010111101110010…
…011001001000101100001111
3102102021100111120110122002202
4103302331302121020230033
542402434013004432124
6505101111251112115
724224152564631606
oct2362756231105417
9372240446418082
1087065201249039
1125818165357972
12992199b8a263b
1339772a067a280
14176dd9a36aa3d
15a0eb742e65ae
hex4f2f72648b0f

87065201249039 has 32 divisors (see below), whose sum is σ = 97144323192000. Its totient is φ = 77518947824640.

The previous prime is 87065201249003. The next prime is 87065201249051. The reversal of 87065201249039 is 93094210256078.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-87065201249039 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87065201249069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13867937 + ... + 19142885.

It is an arithmetic number, because the mean of its divisors is an integer number (3035760099750).

It is a 1-persistent number, because it is pandigital, but 2⋅87065201249039 = 174130402498078 is not.

Almost surely, 287065201249039 is an apocalyptic number.

87065201249039 is a deficient number, since it is larger than the sum of its proper divisors (10079121942961).

87065201249039 is a wasteful number, since it uses less digits than its factorization.

87065201249039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5275355.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 87065201249039 in words is "eighty-seven trillion, sixty-five billion, two hundred one million, two hundred forty-nine thousand, thirty-nine".

Divisors: 1 13 41 173 179 533 2249 2327 7093 7339 30967 92209 95407 402571 1269647 5274949 16505411 68574337 216272909 912566177 944215871 2811547817 11863360301 12274806323 37415213257 38712850711 163349345683 486397772341 503267059243 2123541493879 6697323173003 87065201249039