Search a number
-
+
81601867633741 = 7133745753032339
BaseRepresentation
bin10010100011011101101010…
…010101010101010001001101
3101200221001200110102010110021
4102203131222111111101031
541143431111103234431
6445315214103142141
723121353231261620
oct2243355225252115
9350831613363407
1081601867633741
1124001180a17494
12919aba4444951
13366c03b998a80
1416217a1321db7
159679b9e85b11
hex4a376a55544d

81601867633741 has 32 divisors (see below), whose sum is σ = 103373182680320. Its totient is φ = 62681677963776.

The previous prime is 81601867633717. The next prime is 81601867633747. The reversal of 81601867633741 is 14733676810618.

It is a cyclic number.

It is not a de Polignac number, because 81601867633741 - 27 = 81601867633613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81601867633741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81601867633747) 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, 24977451 + ... + 28054888.

It is an arithmetic number, because the mean of its divisors is an integer number (3230411958760).

Almost surely, 281601867633741 is an apocalyptic number.

It is an amenable number.

81601867633741 is a deficient number, since it is larger than the sum of its proper divisors (21771315046579).

81601867633741 is a wasteful number, since it uses less digits than its factorization.

81601867633741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53032853.

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 81601867633741 in words is "eighty-one trillion, six hundred one billion, eight hundred sixty-seven million, six hundred thirty-three thousand, seven hundred forty-one".

Divisors: 1 7 13 37 91 259 457 481 3199 3367 5941 16909 41587 118363 219817 1538719 53032339 371226373 689420407 1962196543 4825942849 13735375801 24235778923 25508555059 169650452461 178559885413 315065125999 896723820151 2205455881993 6277066741057 11657409661963 81601867633741