Search a number
-
+
92020634496 = 273472355127
BaseRepresentation
bin101010110110011011…
…0110111001110000000
322210112002001120120000
41111230312313032000
53001424240300441
6110135041320000
76435233326140
oct1255466671600
9283462046500
1092020634496
113603128175a
1215a01636000
1388a66427ab
14464d408920
1525d89682b6
hex156cdb7380

92020634496 has 320 divisors, whose sum is σ = 326587092480. Its totient is φ = 25148040192.

The previous prime is 92020634477. The next prime is 92020634591. The reversal of 92020634496 is 69443602029.

92020634496 is a `hidden beast` number, since 9 + 2 + 0 + 2 + 0 + 634 + 4 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1641685 + ... + 1696811.

It is an arithmetic number, because the mean of its divisors is an integer number (1020584664).

Almost surely, 292020634496 is an apocalyptic number.

92020634496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92020634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163293546240).

92020634496 is an abundant number, since it is smaller than the sum of its proper divisors (234566457984).

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

92020634496 is a wasteful number, since it uses less digits than its factorization.

92020634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55183 (or 55162 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 92020634496 in words is "ninety-two billion, twenty million, six hundred thirty-four thousand, four hundred ninety-six".