Search a number
-
+
83074199424 = 2731459148279
BaseRepresentation
bin100110101011110011…
…0111010111110000000
321221102120202120210220
41031113212322332000
52330113443340144
6102055212223040
76000441021066
oct1152746727600
9257376676726
1083074199424
1132260246667
121412546aa80
137aabcc8428
144041178036
15226331c919
hex13579baf80

83074199424 has 64 divisors (see below), whose sum is σ = 220818576000. Its totient is φ = 27672233472.

The previous prime is 83074199423. The next prime is 83074199431. The reversal of 83074199424 is 42499147038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83074199423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486117 + ... + 634395.

It is an arithmetic number, because the mean of its divisors is an integer number (3450290250).

Almost surely, 283074199424 is an apocalyptic number.

It is an amenable number.

83074199424 is an abundant number, since it is smaller than the sum of its proper divisors (137744376576).

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

83074199424 is a wasteful number, since it uses less digits than its factorization.

83074199424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149755 (or 149743 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 83074199424 in words is "eighty-three billion, seventy-four million, one hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1459 2918 4377 5836 8754 11672 17508 23344 35016 46688 70032 93376 140064 148279 186752 280128 296558 444837 560256 593116 889674 1186232 1779348 2372464 3558696 4744928 7117392 9489856 14234784 18979712 28469568 56939136 216339061 432678122 649017183 865356244 1298034366 1730712488 2596068732 3461424976 5192137464 6922849952 10384274928 13845699904 20768549856 27691399808 41537099712 83074199424