Search a number
-
+
803092233009924 = 2232112132330292
BaseRepresentation
bin1011011010011010000111101…
…1010001010011101100000100
310220022111212102112110212121100
42312212201323101103230010
51320230330343122304144
611524011251215020100
7331105333123520454
oct26646417321235404
93808455375425540
10803092233009924
11212987559a65500
12760a47a3b0a630
1328616370c39300
1410245c2b477d64
1562ca412dba269
hex2da687b453b04

803092233009924 has 243 divisors, whose sum is σ = 2416284801136479. Its totient is φ = 224634382727040.

The previous prime is 803092233009881. The next prime is 803092233009929. The reversal of 803092233009924 is 429900332290308.

It is a happy number.

The square root of 803092233009924 is 28338882.

It is a perfect power (a square), and thus also a powerful number.

803092233009924 is a `hidden beast` number, since 8 + 0 + 3 + 0 + 9 + 223 + 300 + 99 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 670675844708100 + 132416388301824 = 25897410^2 + 11507232^2 .

It is not an unprimeable number, because it can be changed into a prime (803092233009929) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24314744242 + ... + 24314777270.

Almost surely, 2803092233009924 is an apocalyptic number.

803092233009924 is the 28338882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803092233009924

803092233009924 is an abundant number, since it is smaller than the sum of its proper divisors (1613192568126555).

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

803092233009924 is a wasteful number, since it uses less digits than its factorization.

803092233009924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66116 (or 33058 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 803092233009924 in words is "eight hundred three trillion, ninety-two billion, two hundred thirty-three million, nine thousand, nine hundred twenty-four".