Search a number
-
+
81688192104441 = 31331224093015161
BaseRepresentation
bin10010100100101110000011…
…101011000011011111111001
3101201020022111120010121020210
4102210232003223003133321
541201334404134320231
6445423012024141333
723130530360210406
oct2244560353033771
9351208446117223
1081688192104441
1124034849921a5a
1291b3876307849
133677218184730
141625a3000d2ad
15969d6d7d1a46
hex4a4b83ac37f9

81688192104441 has 32 divisors (see below), whose sum is σ = 121085046512640. Its totient is φ = 48645867801600.

The previous prime is 81688192104437. The next prime is 81688192104559. The reversal of 81688192104441 is 14440129188618.

It is a happy number.

It is not a de Polignac number, because 81688192104441 - 22 = 81688192104437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81688192104041) 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, 25584901 + ... + 28600061.

It is an arithmetic number, because the mean of its divisors is an integer number (3783907703520).

Almost surely, 281688192104441 is an apocalyptic number.

It is an amenable number.

81688192104441 is a deficient number, since it is larger than the sum of its proper divisors (39396854408199).

81688192104441 is a wasteful number, since it uses less digits than its factorization.

81688192104441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037617.

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 81688192104441 in words is "eighty-one trillion, six hundred eighty-eight billion, one hundred ninety-two million, one hundred four thousand, four hundred forty-one".

Divisors: 1 3 13 31 39 93 403 1209 22409 67227 291317 694679 873951 2084037 3015161 9030827 9045483 27092481 39197093 93469991 117591279 280409973 1215109883 3645329649 67566742849 202700228547 878367657037 2094569028319 2635102971111 6283707084957 27229397368147 81688192104441