Search a number
-
+
92203304042304 = 2634721347619739
BaseRepresentation
bin10100111101101111000001…
…001011110011111101000000
3110002110112211210100112220000
4110331233001023303331000
544041124331313323204
6524033340233520000
725264316554026300
oct2475570113637500
9402415753315800
1092203304042304
1127419224440014
12a41174bb73000
133c5a97123a190
1418aa9413a3600
15a9d645dce039
hex53dbc12f3f40

92203304042304 has 1680 divisors, whose sum is σ = 355454376963840. Its totient is φ = 23407397314560.

The previous prime is 92203304042219. The next prime is 92203304042327. The reversal of 92203304042304 is 40324040330229.

92203304042304 is a `hidden beast` number, since 9 + 2 + 2 + 0 + 3 + 304 + 0 + 42 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9467425467 + ... + 9467435205.

It is an arithmetic number, because the mean of its divisors is an integer number (211579986288).

Almost surely, 292203304042304 is an apocalyptic number.

92203304042304 is a gapful number since it is divisible by the number (94) 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 92203304042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177727188481920).

92203304042304 is an abundant number, since it is smaller than the sum of its proper divisors (263251072921536).

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

92203304042304 is a wasteful number, since it uses less digits than its factorization.

92203304042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 9872 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 92203304042304 in words is "ninety-two trillion, two hundred three billion, three hundred four million, forty-two thousand, three hundred four".