Search a number
-
+
92505468692 = 227413292881
BaseRepresentation
bin101011000100111000…
…0010110111100010100
322211202212100201001002
41112021300112330110
53003422344444232
6110255121122432
76453241340000
oct1261160267424
9284685321032
1092505468692
113625aa1a87a
1215b17a89418
138952c17930
144697973700
1526162d7b62
hex1589c16f14

92505468692 has 180 divisors, whose sum is σ = 210875402556. Its totient is φ = 35293547520.

The previous prime is 92505468661. The next prime is 92505468697. The reversal of 92505468692 is 29686450529.

It can be written as a sum of positive squares in 6 ways, for example, as 10730059396 + 81775409296 = 103586^2 + 285964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92505468697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105000092 + ... + 105000972.

Almost surely, 292505468692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92505468692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105437701278).

92505468692 is an abundant number, since it is smaller than the sum of its proper divisors (118369933864).

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

92505468692 is a wasteful number, since it uses less digits than its factorization.

92505468692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 56.

The spelling of 92505468692 in words is "ninety-two billion, five hundred five million, four hundred sixty-eight thousand, six hundred ninety-two".