Search a number
-
+
91295069958 = 232191297205817
BaseRepresentation
bin101010100000110011…
…1000011011100000110
322201122111210002010100
41111001213003130012
52443433014214313
6105535042104530
76411243201501
oct1250147033406
9281574702110
1091295069958
1135799761344
121583a64b146
1387bc222271
1445c0cd8138
152594de6173
hex15419c3706

91295069958 has 48 divisors (see below), whose sum is σ = 208378375920. Its totient is φ = 28807653888.

The previous prime is 91295069909. The next prime is 91295069993. The reversal of 91295069958 is 85996059219.

It is a super-2 number, since 2×912950699582 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 91295069895 and 91295069904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340666 + ... + 546482.

It is an arithmetic number, because the mean of its divisors is an integer number (4341216165).

Almost surely, 291295069958 is an apocalyptic number.

91295069958 is an abundant number, since it is smaller than the sum of its proper divisors (117083305962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91295069958 is a wasteful number, since it uses less digits than its factorization.

91295069958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207141 (or 207138 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 63.

The spelling of 91295069958 in words is "ninety-one billion, two hundred ninety-five million, sixty-nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1297 2594 3891 7782 11673 23346 24643 49286 73929 147858 205817 221787 411634 443574 617451 1234902 1852353 3704706 3910523 7821046 11731569 23463138 35194707 70389414 266944649 533889298 800833947 1601667894 2402501841 4805003682 5071948331 10143896662 15215844993 30431689986 45647534979 91295069958