Search a number
-
+
89688824764 = 22711714101373
BaseRepresentation
bin101001110000111011…
…1101101101110111100
322120111120100100221121
41103201313231232330
52432140314343024
6105111422440324
76323400301060
oct1234167555674
9276446310847
1089688824764
1135045004580
12154707330a4
1385c4510a16
1444ab859aa0
1524eddb18e4
hex14e1dedbbc

89688824764 has 48 divisors (see below), whose sum is σ = 198440879616. Its totient is φ = 34451524800.

The previous prime is 89688824761. The next prime is 89688824861. The reversal of 89688824764 is 46742888698.

It is a junction number, because it is equal to n+sod(n) for n = 89688824693 and 89688824702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89688824761) 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 15 ways as a sum of consecutive naturals, for example, 2028819 + ... + 2072554.

It is an arithmetic number, because the mean of its divisors is an integer number (4134184992).

Almost surely, 289688824764 is an apocalyptic number.

It is an amenable number.

89688824764 is an abundant number, since it is smaller than the sum of its proper divisors (108752054852).

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

89688824764 is a wasteful number, since it uses less digits than its factorization.

89688824764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101466 (or 4101464 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 70.

The spelling of 89688824764 in words is "eighty-nine billion, six hundred eighty-eight million, eight hundred twenty-four thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 497 781 994 1562 1988 3124 5467 10934 21868 4101373 8202746 16405492 28709611 45115103 57419222 90230206 114838444 180460412 291197483 315805721 582394966 631611442 1164789932 1263222884 2038382381 3203172313 4076764762 6406344626 8153529524 12812689252 22422206191 44844412382 89688824764