Search a number
-
+
5903304633072 = 243671131212029
BaseRepresentation
bin101010111100111100001…
…1000000010101011110000
3202220100110110010222000000
41111321320120002223300
51233204431441224242
620315535105430000
71146333251312340
oct125717030025360
922810413128000
105903304633072
111976639626070
127b412493b300
1333a8aa395452
14165a159d2d20
15a3859e18a4c
hex55e78602af0

5903304633072 has 560 divisors, whose sum is σ = 22069900769280. Its totient is φ = 1483856755200.

The previous prime is 5903304633047. The next prime is 5903304633133. The reversal of 5903304633072 is 2703364033095.

5903304633072 is a `hidden beast` number, since 5 + 9 + 0 + 3 + 3 + 0 + 4 + 633 + 0 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 27735954 + ... + 27947982.

It is an arithmetic number, because the mean of its divisors is an integer number (39410537088).

Almost surely, 25903304633072 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 5903304633072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11034950384640).

5903304633072 is an abundant number, since it is smaller than the sum of its proper divisors (16166596136208).

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

5903304633072 is a wasteful number, since it uses less digits than its factorization.

5903304633072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212104 (or 212083 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 5903304633072 in words is "five trillion, nine hundred three billion, three hundred four million, six hundred thirty-three thousand, seventy-two".