Search a number
-
+
41597072319 = 31117587126317
BaseRepresentation
bin100110101111011000…
…001111001110111111
310222100222020012212010
4212233120033032333
51140142322303234
631035345342303
73001546165215
oct465730171677
9128328205763
1041597072319
1116706510120
12808a937993
133bcbc0187a
14202873ccb5
151136d086e9
hex9af60f3bf

41597072319 has 32 divisors (see below), whose sum is σ = 64173586176. Its totient is φ = 23686776320.

The previous prime is 41597072311. The next prime is 41597072327. The reversal of 41597072319 is 91327079514.

It is an interprime number because it is at equal distance from previous prime (41597072311) and next prime (41597072327).

It is a cyclic number.

It is not a de Polignac number, because 41597072319 - 23 = 41597072311 is a prime.

It is a super-2 number, since 2×415970723192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41597072311) 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 31 ways as a sum of consecutive naturals, for example, 266149 + ... + 392465.

It is an arithmetic number, because the mean of its divisors is an integer number (2005424568).

Almost surely, 241597072319 is an apocalyptic number.

41597072319 is a deficient number, since it is larger than the sum of its proper divisors (22576513857).

41597072319 is a wasteful number, since it uses less digits than its factorization.

41597072319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126935.

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 41597072319 in words is "forty-one billion, five hundred ninety-seven million, seventy-two thousand, three hundred nineteen".

Divisors: 1 3 11 17 33 51 187 561 587 1761 6457 9979 19371 29937 109769 126317 329307 378951 1389487 2147389 4168461 6442167 23621279 70863837 74148079 222444237 815628869 1260517343 2446886607 3781552029 13865690773 41597072319